太阳系行星轨道及运行
动画演示
本程序对太阳系行星、卫星运行情况进行动画演示。具有以下功能：
1.可单独（或全部）显示或隐藏某个天体、运行轨道、天体名称。
2.可调节演示速度、画面比列、观察角度（从天球赤道到天球北极观察太阳系）。
3.可将某个天体（例如月亮）设置为屏幕中间静止不动的天体，观察其他天体相对于该天体运行的情况。
本程序改进版见：太阳系行星轨道及运行-3D立体动画演示
通过设置不同的参数，可得到许多美丽而奇妙的图案，如下：
'需在窗体放置以下 3 个控件，所有控件均采用默认设置：
' Picture1，Command1，Timer1
' 注意：在属性窗口将 Command1 的 Index 属性设置为 0
'其次，为窗体添加一个名为 mFast 的菜单，再为 mFast 添加一个名为 mmFast 的下级子菜单，并将 mmFast 的索引设置为 0。
' 即：mmFast 是以序号 0 开头的菜单数组控件的第一个。
'以下是窗体代码，在 VB6.0 调试通过：
Dim ctD() As tyD, ctDs As Long, ctP As Single, ctCenter As Long
Dim ctBi As Single, ctV As Single, ctTrack As Boolean, ctBW As Long Dim ctSeeJ As Long, ctSeeBi As Single, ctSet As MenuSet
'定义表示天体的数据类型
Private Type tyD
Cap As String '天体名称
r As Long '天体半径（像素，下同）
a As Single '轨道：横半径
b As Single '轨道：纵半径
c As Single '轨道：焦点
e As Single '轨道：偏心率
IsHui As Boolean '是否彗星
Father As Long '父天体序号：轨道焦点上的天体
Se As Long '颜色
V As Single '运行角速度
Jiao As Single '某时刻的与父天体连线角度
X As Single '天体当前坐标
Y As Single
xUp As Single '上一时刻坐标
yUp As Single
Visible As Boolean '是否显示：球体
ShowCap As Boolean '是否显示：标题
GuiDao As Boolean '是否显示：轨道
End Type
Enum MenuSet
'以下为选项菜单标示
ms_All = -2
ms_NoAll = -1
'以下为按钮标示
ms_RunStop = 0 '开始/暂停
ms_Step '步进，下一位置
ms_UnRun '后退
ms_Track '轨迹：显示/隐藏
ms_DefSet '默认设置
ms_Center '参照系
ms_Visible '天体：显示/隐藏
ms_ShowCap '天体名称
ms_GuiDao '轨道
ms_Bi '缩放比
ms_V '速度
ms_SeeJ '视角
End Enum
Private Sub Form_Load()
Me.ScaleMode = 3: Me.Caption = "太阳系行星运行演示"
mFast.Visible = False: ctP = 3.1415926
Timer1.Interval = 25: Timer1.Enabled = True
Call Init
'Me.WindowState = vbMaximized '最大化窗体
'窗体大小为屏幕的 3/4，居中
Me.Move Screen.Width * 0.1, Screen.Height * 0.1, Screen.Width * 0.8, Screen.Height * 0.8
End Sub
Private Sub Form_Resize()
Dim I As Long, L As Single, T As Single, H As Single, H1 As Single, W As Single
'设置控件位置
H1 = Me.TextHeight("A"): L = H1 * 0.3: T = L
L = 3
For I = 0 To Command1.Count - 1
W = Me.TextWidth(Command1(I).Caption & "ab")
Command1(I).Move L, T, W, H1 * 2
L = L + W + 3
Next
T = T * 2 + Command1(0).Height: H = Me.ScaleHeight - T
If H > 0 Then Picture1.Move 0, T, Me.ScaleWidth, H
'将 Picture1 的中心设置为坐标原点
Picture1.ScaleMode = 3
Picture1.ScaleLeft = -Picture1.ScaleWidth * 0.5
Picture1.ScaleTop = -Picture1.ScaleHeight * 0.5
Picture1.Cls
Call Run1
End Sub
Private Sub Init()
'初始化天体参数
Dim I As Long, V As Single, J As Single
ctBW = 0 ' 40 '四周边界空白区，仅用于调试。调试完毕应设为 0 。调试代码**** Picture1.AutoRedraw = True
Picture1.BackColor = &H220000 '&HFFFFFF '
ctCenter = 0: ctBi = 1: ctV = 1 '参照系（位于中心的天体），缩放比列，速度 ctSeeJ = 30: ctSeeBi = ctSeeJ / 90 '视点角度，视角比
ctTrack = False '不显示运动轨迹（不是轨道）
'添加按钮
KjCls Command1
KjAdd Command1, "始/停(&K)", ms_RunStop, "天体的运动状态：开始/暂停" KjAdd Command1, "进(&J)", ms_Step, "步进，运行到下一位置"
KjAdd Command1, "退(&T)", ms_UnRun, "步进，后退到上一位置"
KjAdd Command1, "迹(&A)", ms_Track, "运动轨迹：显示/隐藏"
KjAdd Command1, "默(&D)", ms_DefSet, "将所有参数恢复为默认设置"
KjAdd Command1, "参照系(&C)", ms_Center, "设置参照系（位于中心的天体）"
KjAdd Command1, "天体(&X)", ms_Visible, "天体：显示/隐藏"
KjAdd Command1, "名称(&M)", ms_ShowCap, "天体名称：显示/隐藏" KjAdd Command1, "轨道(&G)", ms_GuiDao, "天体运行轨道：显示/隐藏" KjAdd Command1, "速度(&V)", ms_V, "设置速度"
KjAdd Command1, "视角(&L)", ms_SeeJ, "设置视点角度"
KjAdd Command1, "缩放(&S)", ms_Bi, "设置缩放比列"
'添加天体（演示比列状态下），半径以 100 像素为标准
'参数依次是：名称，父天体名称，天体半径，轨道长半轴，轨道偏心率，运动角速度，天体颜色，初始角度，彗星否
ctDs = -1: ReDim ctD(0)
AddCircle "太阳", "", 22, 2, 0, ctP * 0.008, RGB(255, 200, 0)
AddCircle "水星", "", 5, 0.5, 0.206, ctP * 0.03, &H999999
AddCircle "金星", "", 9, 0.8, 0.0068, ctP * 0.018, &H55AAAA
AddCircle "地球", "", 10, 1.2, 0.0167, ctP * 0.01, RGB(0, 0, 255)
AddCircle "月亮", "地球", 4, 0.2, 0, ctP * 0.06, &H888888
AddCircle "嫦娥1号", "月亮", 2, 0.06, 0, ctP * 0.12, &HCCCCCC
AddCircle "火星", "", 6, 1.8, 0.093, ctP * 0.005, &H1155FF
AddCircle "火卫1", "火星", 3, 0.1, 0, ctP * 0.1, &HFFFF00, ctP * 2 * 0.3 AddCircle "火卫2", "火星", 3, 0.15, 0, ctP * 0.1, &H7777FF, ctP * 2 * 0.7 AddCircle "木星", "", 16, 3, 0.0483, ctP * 0.003, &HEEDDCC
AddCircle "木卫1", "木星", 2, 0.25, 0, ctP * 0.05, &H883487, ctP * 2 * 0.2 AddCircle "木卫2", "木星", 2, 0.3, 0, ctP * 0.035, &H348888, ctP * 2 * 0.4 AddCircle "木卫3", "木星", 3, 0.35, 0, ctP * 0.03, &HAA34CC, ctP * 2 * 0.6 AddCircle "木卫4", "木星", 4, 0.45, 0, ctP * 0.02, &H888888, ctP * 2 * 0.8 AddCircle "土星", "", 14, 5, 0.056, ctP * 0.002, &H5599FF
AddCircle "土卫6", "土星", 4, 0.25, 0, ctP * 0.055, &H99EEEE
AddCircle "天王星", "", 12, 6.5, 0.0461, ctP * 0.0015, &HFFCCCC
AddCircle "天卫3", "天王星", 3, 0.2, 0, ctP * 0.05, &H33FF88, ctP * 2 * 0.5 AddCircle "天卫4", "天王星", 3, 0.3, 0, ctP * 0.035, &HFF3311, ctP * 2 * 0.8 AddCircle "海王星", "", 12, 9, 0.0097, ctP * 0.001, &HFF7766
AddCircle "海卫1", "海王星", 3, 0.25, 0, -ctP * 0.03, &H882388
AddCircle "哈雷彗星", "", 2, 5.5, 0.83, ctP * 0.0012, &H777777, ctP * 1, True Call Form_Resize
End Sub
Private Sub Command1_Click(Index As Integer)
Dim I As Long, J As Long, nStr As String, Zu As Variant
Dim nSel As Long, nAll As Long, nNo As Long
ctSet = Val(Command1(Index).Tag) '得到按钮标示
KjCls mmFast '清除菜单
'装载快捷菜单，并勾选选定项目
Select Case ctSet
Case ms_DefSet: Call Init: Run1: Exit Sub '默认设置
Case ms_RunStop: Timer1.Enabled = Not Timer1.Enabled: Exit Sub '开始/暂停
Case ms_Track: ctTrack = Not ctTrack: Picture1.Cls: Call Run1 '保留运动轨迹
Case ms_Step '步进，前进到下一位置
If Not Timer1.Enabled Then Run1 True
Timer1.Enabled = False
Case ms_UnRun '步进，后退到下一位置
If Not Timer1.Enabled Then Run1 True, True
Timer1.Enabled = False
Case ms_Bi '缩放比列
Zu = Array(0.1, 0.2, 0.3, 0.4, "-", 0.5, 0.6, 0.7, 0.8, 0.9, "-", 1, 1.2, 1.5, 1.8, 2, 3, 5, 8, 10)
KjAddZu mmFast, Zu, ctBi, " 倍": GoTo Show1 '添加数组菜单，并勾选 ctBi Case ms_SeeJ '视点角度
Zu = Array("90 度（天球北极）", "80 度", "70 度", "60 度", "50 度", "45 度", "40 度", "30 度", "20 度", "15 度", "10 度", "5 度", "0 度（天球赤道）")
KjAddZu mmFast, Zu, ctSeeJ: GoTo Show1 '添加数组菜单，并勾选 ctSeeJ Case ms_V '速度
Zu = Array(0.1, 0.2, 0.3, 0.4, "-", 0.5, 0.6, 0.7, 0.8, 0.9, "-", 1, 1.5, 2, 2.5, 3, 4, 5,
7.5, 10)
KjAddZu mmFast, Zu, ctV, " 倍": GoTo Show1
Case Else '装载天体名称
For I = 0 To ctDs
J = Ji(I) '天体 I 的级别
KjAdd mmFast, "&" & I & " " & String(J * 2, " ") & ctD(I).Cap
Next
End Select
'勾选选定天体
Select Case ctSet
Case ms_Center: mmFast(ctCenter).Checked = True: GoTo Show1 '参照系（中心天体）
Case ms_ShowCap '显示天体名称
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).ShowCap: Next
Case ms_Visible '天体 是否可见
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).Visible: Next
Case ms_GuiDao '轨道
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).GuiDao: Next
Case Else: Exit Sub
End Select
KjAdd mmFast, "-"
nAll = KjAdd(mmFast, "全选", ms_All)
nNo = KjAdd(mmFast, "全不选", ms_NoAll)
For I = 0 To ctDs
If mmFast(I).Checked Then nSel = nSel + 1
Next
If nSel = 0 Then mmFast(nNo).Checked = True: mmFast(nNo).Enabled = False
If nSel = ctDs + 1 Then mmFast(nAll).Checked = True: mmFast(nAll).Enabled = False
Show1:
Command1(Index).BackColor = &HFFCCCC '将选中按钮设置为淡蓝色 Me.PopupMenu mFast, , Command1(Index).Left, Command1(Index).Top + Command1(Index).Height - 3
Command1(Index).BackColor = Me.BackColor
End Sub
Private Sub mmFast_Click(Index As Integer)
'通过快捷菜单设置天体有关参数
Dim nTag As MenuSet, I As Long, TF As Boolean
nTag = Val(mmFast(Index).Tag) '菜单标示：ms_All 全选，ms_NoAll 全不选
Select Case ctSet 'ctSet：按钮标示，在 Command1_Click 中设置 Case ms_V '速度
ctV = Val(mmFast(Index).Caption)
Case ms_SeeJ '视点角度
ctSeeJ = Val(mmFast(Index).Caption) '视点角度
ctSeeBi = ctSeeJ / 90 '视角比
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_Bi '缩放比列
ctBi = Val(mmFast(Index).Caption)
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_Center '参照系（中心天体）
ctCenter = Index
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_ShowCap '显示名称
If Index
ctD(Index).ShowCap = Not ctD(Index).ShowCap
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).ShowCap = TF: Next
End If
Case ms_Visible '天体 是否可见
If Index
ctD(Index).Visible = Not ctD(Index).Visible
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).Visible = TF: Next
End If
Case ms_GuiDao '轨道
If Index
ctD(Index).GuiDao = Not ctD(Index).GuiDao
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).GuiDao = TF: Next
End If
End Select
Picture1.Cls
Call Run1
End Sub
Private Sub AddCircle(nName As String, nFather As String, r As Long, a As Single, e As Single, V As Single, _
Optional Se As Long = 255, Optional Jiao As Single, Optional IsHui As Boolean)
'添加一个天体，参数依次是：
' 名称，父天体名称，天体半径，轨道长半轴，轨道偏心率，运动角速度，天体颜色，初始角度，彗星否
Dim I As Long, J As Long
a = a * 100 '半径以 100 像素为标准
ctDs = ctDs + 1: ReDim Preserve ctD(ctDs)
'设置父天体编号
For I = 0 To ctDs - 1
If LCase(ctD(I).Cap) = LCase(nFather) Then ctD(ctDs).Father = I: Exit For Next
ctD(ctDs).Cap = nName: ctD(ctDs).r = r: ctD(ctDs).a = a
ctD(ctDs).c = a * e: ctD(ctDs).b = Sqr(a ^ 2 - ctD(ctDs).c ^ 2)
ctD(ctDs).IsHui = IsHui: ctD(ctDs).V = V: ctD(ctDs).Se = Se
ctD(ctDs).xUp = 0: ctD(ctDs).yUp = 0: ctD(ctDs).Visible = True ctD(ctDs).GuiDao = True
Randomize
If Jiao = 0 Then ctD(ctDs).Jiao = Rnd * ctP * 2 Else ctD(ctDs).Jiao = Jiao End Sub
Private Function KjAddZu(Kj, Zu As Variant, ByVal CheckStr As String, Optional SameStr As String)
'添加一个数组菜单，并勾选标题为 CheckStr 的条目
Dim I As Long, J As Long, nCap As String
If Left(CheckStr, 1) = "." Then CheckStr = "0" & CheckStr
For I = LBound(Zu) To UBound(Zu)
nCap = Zu(I)
If Left(nCap, 1) = "." Then nCap = "0" & nCap
If nCap = "-" Then J = KjAdd(Kj, nCap) Else J = KjAdd(Kj, nCap & SameStr) ' If LCase(CheckStr) = LCase(nCap) Then Kj(J).Checked = True
If Val(CheckStr) = Val(nCap) Then Kj(J).Checked = True
Next
End Function
Private Function KjAdd(Kj, nCap As String, Optional nTag As String, Optional nNote As String) As Long
'为数组控件添加一个成员，返回新添加的成员序号
Dim I As Long
I = Kj.Count - 1
If Kj(I).Caption "" Then I = I + 1: Load Kj(I)
On Error Resume Next
Kj(I).Checked = False
Kj(I).Caption = nCap
Kj(I).Tag = nTag
Kj(I).ToolTipText = nNote
Kj(I).Visible = True
KjAdd = I
End Function
Private Function KjCls(Kj) As Long
'卸载数组控件的所有成员(0号除外)
Dim I As Long
For I = Kj.Count - 1 To 1 Step -1
Unload Kj(I)
Next
On Error Resume Next
Kj(0).Caption = ""
Kj(0).Checked = False
End Function
Private Function CapToNum(nCap As String) As Long
'返回名称为 nCap 的天体编号
Dim I As Long
For I = 0 To ctDs
If LCase(ctD(I).Cap) = LCase(nCap) Then CapToNum = I: Exit Function Next
CapToNum = -1
End Function
Private Function Ji(ByVal D As Long) As Long
'返回天体级别（编号为 D ）
Do
If ctD(D).Father = 0 Then Exit Do
D = ctD(D).Father: Ji = Ji + 1
Loop
End Function
Private Sub Timer1_Timer()
Run1 True
End Sub
Private Sub Run1(Optional nRun As Boolean, Optional UnRun As Boolean) '显示一次运行的瞬时状态
Dim wB As Single, hB As Single, X As Single, Y As Single, ZuY() As Long Dim I As Long, T As Long, Se As Long, r As Single
Dim CenX As Single, CenY As Single, InD As Boolean, InD1 As Boolean
'计算天体瞬时位置：相对与父天体的角度
For I = 0 To ctDs
If nRun Then
If UnRun Then X = ctD(I).Jiao - ctD(I).V * ctV Else X = ctD(I).Jiao + ctD(I).V * ctV
'保证数值在 0 到 ctP*2 的范围内
If X > ctP * 2 Then X = X - ctP * 2
If X
ctD(I).Jiao = X
End If
' If I = CapToNum("地球") Then Me.Caption = ctD(I).Jiao / ctP * 180 '调试代码****
ctD(I).X = ctBi * (ctD(I).a * Sin(ctD(I).Jiao) + ctD(I).c)
ctD(I).Y = ctBi * ctSeeBi * (ctD(I).b * Cos(ctD(I).Jiao))
'加上父天体的位置
ctD(I).X = ctD(I).X + ctD(ctD(I).Father).X: ctD(I).Y = ctD(I).Y +
ctD(ctD(I).Father).Y
Next
'移位参照系
CenX = ctD(ctCenter).X: CenY = ctD(ctCenter).Y '中心天体位置
For I = 0 To ctDs
ctD(I).X = CenX - ctD(I).X: ctD(I).Y = CenY - ctD(I).Y
Next
SortY ZuY '将天体按 Y 坐标排序，数组 ZuY() 返回排序后的天体序号
Picture1.Font.Size = 9: Picture1.ForeColor = &HFFFFFF
wB = Picture1.ScaleWidth * 0.5 - ctBW: hB = Picture1.ScaleHeight * 0.5 - ctBW '可视区大小
If Not ctTrack Then Picture1.Cls '保留轨迹，不擦除上次图像
If ctBW > 0 Then Picture1.Line (-wB, -hB)-(wB, hB), , B '可见区方框，调试代码****
For T = 0 To ctDs '按天体 Y 坐标依次画出各天体
I = ZuY(T) '天体实际编号
X = ctD(I).X: Y = ctD(I).Y: r = ctBi * ctD(I).r
If r
'画一个天体
Call SubGuiDao(I) '画 I 的卫星轨道：上半部分
InD = Not (X + r wB Or Y + r hB) '是否在可见区内
If ctD(I).Visible And InD Then
If ctD(I).IsHui Then Tail I, X, Y '画彗尾
Picture1.FillColor = ctD(I).Se: Picture1.FillStyle = 0 '打开填充
Picture1.Circle (X, Y), r, 0 '画天体
Picture1.FillStyle = 1 '关闭填充
End If
Call SubGuiDao(I, True) '画 I 的卫星轨道：下半部分
'显示天体名称
If ctD(I).ShowCap Then
If I = 0 Then
ShowStr wB, hB, ctD(I).Cap, X, Y - Picture1.TextHeight("A") * 0.5, True, 0
Else
ShowStr wB, hB, ctD(I).Cap, X, Y + r + 3, True
End If
End If
'画运动轨迹：上一个点和当前点的连线：有一个在可见区内
If ctTrack Then
InD1 = Not (ctD(I).xUp + r wB Or ctD(I).yUp + r hB)
If (InD Or InD1) And ctD(I).xUp 0 And ctD(I).yUp 0 Then
If ctBi
Picture1.DrawWidth = 1
End If
End If
'记忆上次位置
ctD(I).xUp = X: ctD(I).yUp = Y
Next
End Sub
Private Sub Tail(I As Long, X As Single, Y As Single)
'画天体 I 的 彗尾
Dim x0 As Single, y0 As Single, S As Single
Dim x1 As Single, y1 As Single, J As Single
'无压缩时的位置
x0 = ctD(I).a * Sin(ctD(I).Jiao): y0 = ctD(I).b * Cos(ctD(I).Jiao)
J = ctBi * Sqr((x0 + ctD(I).c) ^ 2 + y0 ^ 2) '与焦点（即：父天体）距离
S = ctBi * (ctD(I).a - ctD(I).c) ^ 2 / J - (ctD(I).a - ctD(I).c) / 5 '彗发长度：近日距离4/5
If S
S = S * ctBi
If S > Picture1.ScaleWidth Then S = Picture1.ScaleWidth
x1 = ctD(ctD(I).Father).X: y1 = ctD(ctD(I).Father).Y '父天体位置
x1 = S / J * (X - x1): y1 = S / J * (Y - y1)
Picture1.DrawMode = 14: Picture1.DrawWidth = ctD(I).r * 3 * ctBi + 1 Picture1.Line (X, Y)-Step(x1, y1), &H999999
Picture1.Line (X, Y)-Step(x1, y1), &H999999
Picture1.DrawWidth = 1: Picture1.DrawMode = 13
End Sub
Private Sub ShowStr(wB As Single, hB As Single, nStr As String, ByVal X As Single, ByVal Y As Single, Optional CenLR As Boolean, Optional Se As Long = -1)
'显示字符 wB,hB：可见区边界 CenLR = T：左右居中
Dim W As Single, H As Single, nSe As Long
W = Picture1.TextWidth(nStr): H = Picture1.TextHeight(nStr)
If CenLR Then X = X - W * 0.5
If X wB Or Y hB Then Exit Sub
Picture1.CurrentX = X: Picture1.CurrentY = Y: Picture1.Print nStr
If Se = -1 Then Exit Sub
nSe = Picture1.ForeColor: Picture1.ForeColor = Se
Picture1.CurrentX = X + 1: Picture1.CurrentY = Y + 1
Picture1.Print nStr
Picture1.ForeColor = nSe
End Sub
Private Sub SortY(ZuY() As Long)
'将天体按 Y 坐标排序，数组 ZuY() 返回排序后的天体序号
Dim I As Long, J As Long, K As Long, S As Long, y1 As Single
Dim Y() As Single
ReDim Y(0 To ctDs) 'Y() 用于视角为 0 的情况
For I = 0 To ctDs
If ctSeeBi = 0 Then
If ctD(I).Jiao > ctP * 0.5 And ctD(I).Jiao
Y(I) = ctD(I).b
Else
Y(I) = -ctD(I).b
End If
Y(I) = Y(I) + Y(ctD(I).Father) '加上父天体的 Y 坐标
Else
Y(I) = ctD(I).Y
End If
Next
ReDim ZuY(0 To ctDs)
ZuY(0) = 0
For I = 1 To ctDs
y1 = Y(I)
For J = 0 To I - 1
If y1
For K = I - 1 To J Step -1 '下移动已排序数组 J 之后的
ZuY(K + 1) = ZuY(K)
Next
ZuY(J) = I: GoTo Next1
End If
Next
ZuY(I) = I
Next1:
Next
End Sub
Private Sub GetXY(ByVal I As Long, Jiao As Single, CenX As Single, CenY As Single, X As Single, Y As Single)
'获取某天体 I 在 Jiao 位置的绝对位置
'CenX，CenY：父天体的位置
X = CenX - ctBi * (ctD(I).a * Sin(Jiao) + ctD(I).c)
Y = CenY - ctBi * ctSeeBi * ctD(I).b * Cos(Jiao)
End Sub
Private Sub SubGuiDao(I As Long, Optional IsDown As Boolean)
'画天体 I 的卫星轨道的一半
Dim W As Long
For W = 0 To ctDs
If W I And ctD(W).GuiDao And ctD(W).Father = I Then GuiDao W, IsDown Next
End Sub
Private Sub GuiDao(I As Long, Optional IsDown As Boolean)
'画轨道
Dim J As Single, X As Single, Y As Single, CenX As Single, CenY As Single Dim W1 As Single, H1 As Single, xUp As Single, yUp As Single, Is2 As Boolean
Dim InD As Boolean, InUpD As Boolean, J1 As Single, J2 As Single
Picture1.DrawWidth = 1
W1 = Picture1.ScaleWidth * 0.5 - ctBW: H1 = Picture1.ScaleHeight * 0.5 - ctBW
CenX = ctD(ctD(I).Father).X: CenY = ctD(ctD(I).Father).Y '父天体的位置 If IsDown Then
J1 = ctP * 0.5: J2 = ctP * 1.5 '下半部分
Else
J1 = ctP * 1.5: J2 = ctP * 2.5 '上半部分
End If
For J = J1 To J2 Step 0.05
Call GetXY(I, J, CenX, CenY, X, Y)
InD = Not (X W1 Or Y H1) '点1是否在可见区内 If Is2 And (InD Or InUpD) Then Picture1.Line (X, Y)-(xUp, yUp), ctD(I).Se xUp = X: yUp = Y: InUpD = InD: Is2 = True
Next
'末点：将轨道封闭
Call GetXY(I, J2, CenX, CenY, X, Y)
InD = Not (X W1 Or Y H1)
If InD Or InUpD Then Picture1.Line (X, Y)-(xUp, yUp), ctD(I).Se
End Sub
当前位置：首页 > VB 小程序 > 太阳系行星轨道及运行动画演示
太阳系行星轨道及运行
动画演示
本程序对太阳系行星、卫星运行情况进行动画演示。具有以下功能：
1.可单独（或全部）显示或隐藏某个天体、运行轨道、天体名称。
2.可调节演示速度、画面比列、观察角度（从天球赤道到天球北极观察太阳系）。
3.可将某个天体（例如月亮）设置为屏幕中间静止不动的天体，观察其他天体相对于该天体运行的情况。
本程序改进版见：太阳系行星轨道及运行-3D立体动画演示
通过设置不同的参数，可得到许多美丽而奇妙的图案，如下：
'需在窗体放置以下 3 个控件，所有控件均采用默认设置：
' Picture1，Command1，Timer1
' 注意：在属性窗口将 Command1 的 Index 属性设置为 0
'其次，为窗体添加一个名为 mFast 的菜单，再为 mFast 添加一个名为 mmFast 的下级子菜单，并将 mmFast 的索引设置为 0。
' 即：mmFast 是以序号 0 开头的菜单数组控件的第一个。
'以下是窗体代码，在 VB6.0 调试通过：
Dim ctD() As tyD, ctDs As Long, ctP As Single, ctCenter As Long
Dim ctBi As Single, ctV As Single, ctTrack As Boolean, ctBW As Long Dim ctSeeJ As Long, ctSeeBi As Single, ctSet As MenuSet
'定义表示天体的数据类型
Private Type tyD
Cap As String '天体名称
r As Long '天体半径（像素，下同）
a As Single '轨道：横半径
b As Single '轨道：纵半径
c As Single '轨道：焦点
e As Single '轨道：偏心率
IsHui As Boolean '是否彗星
Father As Long '父天体序号：轨道焦点上的天体
Se As Long '颜色
V As Single '运行角速度
Jiao As Single '某时刻的与父天体连线角度
X As Single '天体当前坐标
Y As Single
xUp As Single '上一时刻坐标
yUp As Single
Visible As Boolean '是否显示：球体
ShowCap As Boolean '是否显示：标题
GuiDao As Boolean '是否显示：轨道
End Type
Enum MenuSet
'以下为选项菜单标示
ms_All = -2
ms_NoAll = -1
'以下为按钮标示
ms_RunStop = 0 '开始/暂停
ms_Step '步进，下一位置
ms_UnRun '后退
ms_Track '轨迹：显示/隐藏
ms_DefSet '默认设置
ms_Center '参照系
ms_Visible '天体：显示/隐藏
ms_ShowCap '天体名称
ms_GuiDao '轨道
ms_Bi '缩放比
ms_V '速度
ms_SeeJ '视角
End Enum
Private Sub Form_Load()
Me.ScaleMode = 3: Me.Caption = "太阳系行星运行演示"
mFast.Visible = False: ctP = 3.1415926
Timer1.Interval = 25: Timer1.Enabled = True
Call Init
'Me.WindowState = vbMaximized '最大化窗体
'窗体大小为屏幕的 3/4，居中
Me.Move Screen.Width * 0.1, Screen.Height * 0.1, Screen.Width * 0.8, Screen.Height * 0.8
End Sub
Private Sub Form_Resize()
Dim I As Long, L As Single, T As Single, H As Single, H1 As Single, W As Single
'设置控件位置
H1 = Me.TextHeight("A"): L = H1 * 0.3: T = L
L = 3
For I = 0 To Command1.Count - 1
W = Me.TextWidth(Command1(I).Caption & "ab")
Command1(I).Move L, T, W, H1 * 2
L = L + W + 3
Next
T = T * 2 + Command1(0).Height: H = Me.ScaleHeight - T
If H > 0 Then Picture1.Move 0, T, Me.ScaleWidth, H
'将 Picture1 的中心设置为坐标原点
Picture1.ScaleMode = 3
Picture1.ScaleLeft = -Picture1.ScaleWidth * 0.5
Picture1.ScaleTop = -Picture1.ScaleHeight * 0.5
Picture1.Cls
Call Run1
End Sub
Private Sub Init()
'初始化天体参数
Dim I As Long, V As Single, J As Single
ctBW = 0 ' 40 '四周边界空白区，仅用于调试。调试完毕应设为 0 。调试代码**** Picture1.AutoRedraw = True
Picture1.BackColor = &H220000 '&HFFFFFF '
ctCenter = 0: ctBi = 1: ctV = 1 '参照系（位于中心的天体），缩放比列，速度 ctSeeJ = 30: ctSeeBi = ctSeeJ / 90 '视点角度，视角比
ctTrack = False '不显示运动轨迹（不是轨道）
'添加按钮
KjCls Command1
KjAdd Command1, "始/停(&K)", ms_RunStop, "天体的运动状态：开始/暂停" KjAdd Command1, "进(&J)", ms_Step, "步进，运行到下一位置"
KjAdd Command1, "退(&T)", ms_UnRun, "步进，后退到上一位置"
KjAdd Command1, "迹(&A)", ms_Track, "运动轨迹：显示/隐藏"
KjAdd Command1, "默(&D)", ms_DefSet, "将所有参数恢复为默认设置"
KjAdd Command1, "参照系(&C)", ms_Center, "设置参照系（位于中心的天体）"
KjAdd Command1, "天体(&X)", ms_Visible, "天体：显示/隐藏"
KjAdd Command1, "名称(&M)", ms_ShowCap, "天体名称：显示/隐藏" KjAdd Command1, "轨道(&G)", ms_GuiDao, "天体运行轨道：显示/隐藏" KjAdd Command1, "速度(&V)", ms_V, "设置速度"
KjAdd Command1, "视角(&L)", ms_SeeJ, "设置视点角度"
KjAdd Command1, "缩放(&S)", ms_Bi, "设置缩放比列"
'添加天体（演示比列状态下），半径以 100 像素为标准
'参数依次是：名称，父天体名称，天体半径，轨道长半轴，轨道偏心率，运动角速度，天体颜色，初始角度，彗星否
ctDs = -1: ReDim ctD(0)
AddCircle "太阳", "", 22, 2, 0, ctP * 0.008, RGB(255, 200, 0)
AddCircle "水星", "", 5, 0.5, 0.206, ctP * 0.03, &H999999
AddCircle "金星", "", 9, 0.8, 0.0068, ctP * 0.018, &H55AAAA
AddCircle "地球", "", 10, 1.2, 0.0167, ctP * 0.01, RGB(0, 0, 255)
AddCircle "月亮", "地球", 4, 0.2, 0, ctP * 0.06, &H888888
AddCircle "嫦娥1号", "月亮", 2, 0.06, 0, ctP * 0.12, &HCCCCCC
AddCircle "火星", "", 6, 1.8, 0.093, ctP * 0.005, &H1155FF
AddCircle "火卫1", "火星", 3, 0.1, 0, ctP * 0.1, &HFFFF00, ctP * 2 * 0.3 AddCircle "火卫2", "火星", 3, 0.15, 0, ctP * 0.1, &H7777FF, ctP * 2 * 0.7 AddCircle "木星", "", 16, 3, 0.0483, ctP * 0.003, &HEEDDCC
AddCircle "木卫1", "木星", 2, 0.25, 0, ctP * 0.05, &H883487, ctP * 2 * 0.2 AddCircle "木卫2", "木星", 2, 0.3, 0, ctP * 0.035, &H348888, ctP * 2 * 0.4 AddCircle "木卫3", "木星", 3, 0.35, 0, ctP * 0.03, &HAA34CC, ctP * 2 * 0.6 AddCircle "木卫4", "木星", 4, 0.45, 0, ctP * 0.02, &H888888, ctP * 2 * 0.8 AddCircle "土星", "", 14, 5, 0.056, ctP * 0.002, &H5599FF
AddCircle "土卫6", "土星", 4, 0.25, 0, ctP * 0.055, &H99EEEE
AddCircle "天王星", "", 12, 6.5, 0.0461, ctP * 0.0015, &HFFCCCC
AddCircle "天卫3", "天王星", 3, 0.2, 0, ctP * 0.05, &H33FF88, ctP * 2 * 0.5 AddCircle "天卫4", "天王星", 3, 0.3, 0, ctP * 0.035, &HFF3311, ctP * 2 * 0.8 AddCircle "海王星", "", 12, 9, 0.0097, ctP * 0.001, &HFF7766
AddCircle "海卫1", "海王星", 3, 0.25, 0, -ctP * 0.03, &H882388
AddCircle "哈雷彗星", "", 2, 5.5, 0.83, ctP * 0.0012, &H777777, ctP * 1, True Call Form_Resize
End Sub
Private Sub Command1_Click(Index As Integer)
Dim I As Long, J As Long, nStr As String, Zu As Variant
Dim nSel As Long, nAll As Long, nNo As Long
ctSet = Val(Command1(Index).Tag) '得到按钮标示
KjCls mmFast '清除菜单
'装载快捷菜单，并勾选选定项目
Select Case ctSet
Case ms_DefSet: Call Init: Run1: Exit Sub '默认设置
Case ms_RunStop: Timer1.Enabled = Not Timer1.Enabled: Exit Sub '开始/暂停
Case ms_Track: ctTrack = Not ctTrack: Picture1.Cls: Call Run1 '保留运动轨迹
Case ms_Step '步进，前进到下一位置
If Not Timer1.Enabled Then Run1 True
Timer1.Enabled = False
Case ms_UnRun '步进，后退到下一位置
If Not Timer1.Enabled Then Run1 True, True
Timer1.Enabled = False
Case ms_Bi '缩放比列
Zu = Array(0.1, 0.2, 0.3, 0.4, "-", 0.5, 0.6, 0.7, 0.8, 0.9, "-", 1, 1.2, 1.5, 1.8, 2, 3, 5, 8, 10)
KjAddZu mmFast, Zu, ctBi, " 倍": GoTo Show1 '添加数组菜单，并勾选 ctBi Case ms_SeeJ '视点角度
Zu = Array("90 度（天球北极）", "80 度", "70 度", "60 度", "50 度", "45 度", "40 度", "30 度", "20 度", "15 度", "10 度", "5 度", "0 度（天球赤道）")
KjAddZu mmFast, Zu, ctSeeJ: GoTo Show1 '添加数组菜单，并勾选 ctSeeJ Case ms_V '速度
Zu = Array(0.1, 0.2, 0.3, 0.4, "-", 0.5, 0.6, 0.7, 0.8, 0.9, "-", 1, 1.5, 2, 2.5, 3, 4, 5,
7.5, 10)
KjAddZu mmFast, Zu, ctV, " 倍": GoTo Show1
Case Else '装载天体名称
For I = 0 To ctDs
J = Ji(I) '天体 I 的级别
KjAdd mmFast, "&" & I & " " & String(J * 2, " ") & ctD(I).Cap
Next
End Select
'勾选选定天体
Select Case ctSet
Case ms_Center: mmFast(ctCenter).Checked = True: GoTo Show1 '参照系（中心天体）
Case ms_ShowCap '显示天体名称
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).ShowCap: Next
Case ms_Visible '天体 是否可见
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).Visible: Next
Case ms_GuiDao '轨道
For I = 0 To ctDs: mmFast(I).Checked = ctD(I).GuiDao: Next
Case Else: Exit Sub
End Select
KjAdd mmFast, "-"
nAll = KjAdd(mmFast, "全选", ms_All)
nNo = KjAdd(mmFast, "全不选", ms_NoAll)
For I = 0 To ctDs
If mmFast(I).Checked Then nSel = nSel + 1
Next
If nSel = 0 Then mmFast(nNo).Checked = True: mmFast(nNo).Enabled = False
If nSel = ctDs + 1 Then mmFast(nAll).Checked = True: mmFast(nAll).Enabled = False
Show1:
Command1(Index).BackColor = &HFFCCCC '将选中按钮设置为淡蓝色 Me.PopupMenu mFast, , Command1(Index).Left, Command1(Index).Top + Command1(Index).Height - 3
Command1(Index).BackColor = Me.BackColor
End Sub
Private Sub mmFast_Click(Index As Integer)
'通过快捷菜单设置天体有关参数
Dim nTag As MenuSet, I As Long, TF As Boolean
nTag = Val(mmFast(Index).Tag) '菜单标示：ms_All 全选，ms_NoAll 全不选
Select Case ctSet 'ctSet：按钮标示，在 Command1_Click 中设置 Case ms_V '速度
ctV = Val(mmFast(Index).Caption)
Case ms_SeeJ '视点角度
ctSeeJ = Val(mmFast(Index).Caption) '视点角度
ctSeeBi = ctSeeJ / 90 '视角比
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_Bi '缩放比列
ctBi = Val(mmFast(Index).Caption)
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_Center '参照系（中心天体）
ctCenter = Index
For I = 0 To ctDs: ctD(I).xUp = 0: ctD(I).yUp = 0: Next
Case ms_ShowCap '显示名称
If Index
ctD(Index).ShowCap = Not ctD(Index).ShowCap
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).ShowCap = TF: Next
End If
Case ms_Visible '天体 是否可见
If Index
ctD(Index).Visible = Not ctD(Index).Visible
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).Visible = TF: Next
End If
Case ms_GuiDao '轨道
If Index
ctD(Index).GuiDao = Not ctD(Index).GuiDao
Else
TF = nTag = ms_All
For I = 0 To ctDs: ctD(I).GuiDao = TF: Next
End If
End Select
Picture1.Cls
Call Run1
End Sub
Private Sub AddCircle(nName As String, nFather As String, r As Long, a As Single, e As Single, V As Single, _
Optional Se As Long = 255, Optional Jiao As Single, Optional IsHui As Boolean)
'添加一个天体，参数依次是：
' 名称，父天体名称，天体半径，轨道长半轴，轨道偏心率，运动角速度，天体颜色，初始角度，彗星否
Dim I As Long, J As Long
a = a * 100 '半径以 100 像素为标准
ctDs = ctDs + 1: ReDim Preserve ctD(ctDs)
'设置父天体编号
For I = 0 To ctDs - 1
If LCase(ctD(I).Cap) = LCase(nFather) Then ctD(ctDs).Father = I: Exit For Next
ctD(ctDs).Cap = nName: ctD(ctDs).r = r: ctD(ctDs).a = a
ctD(ctDs).c = a * e: ctD(ctDs).b = Sqr(a ^ 2 - ctD(ctDs).c ^ 2)
ctD(ctDs).IsHui = IsHui: ctD(ctDs).V = V: ctD(ctDs).Se = Se
ctD(ctDs).xUp = 0: ctD(ctDs).yUp = 0: ctD(ctDs).Visible = True ctD(ctDs).GuiDao = True
Randomize
If Jiao = 0 Then ctD(ctDs).Jiao = Rnd * ctP * 2 Else ctD(ctDs).Jiao = Jiao End Sub
Private Function KjAddZu(Kj, Zu As Variant, ByVal CheckStr As String, Optional SameStr As String)
'添加一个数组菜单，并勾选标题为 CheckStr 的条目
Dim I As Long, J As Long, nCap As String
If Left(CheckStr, 1) = "." Then CheckStr = "0" & CheckStr
For I = LBound(Zu) To UBound(Zu)
nCap = Zu(I)
If Left(nCap, 1) = "." Then nCap = "0" & nCap
If nCap = "-" Then J = KjAdd(Kj, nCap) Else J = KjAdd(Kj, nCap & SameStr) ' If LCase(CheckStr) = LCase(nCap) Then Kj(J).Checked = True
If Val(CheckStr) = Val(nCap) Then Kj(J).Checked = True
Next
End Function
Private Function KjAdd(Kj, nCap As String, Optional nTag As String, Optional nNote As String) As Long
'为数组控件添加一个成员，返回新添加的成员序号
Dim I As Long
I = Kj.Count - 1
If Kj(I).Caption "" Then I = I + 1: Load Kj(I)
On Error Resume Next
Kj(I).Checked = False
Kj(I).Caption = nCap
Kj(I).Tag = nTag
Kj(I).ToolTipText = nNote
Kj(I).Visible = True
KjAdd = I
End Function
Private Function KjCls(Kj) As Long
'卸载数组控件的所有成员(0号除外)
Dim I As Long
For I = Kj.Count - 1 To 1 Step -1
Unload Kj(I)
Next
On Error Resume Next
Kj(0).Caption = ""
Kj(0).Checked = False
End Function
Private Function CapToNum(nCap As String) As Long
'返回名称为 nCap 的天体编号
Dim I As Long
For I = 0 To ctDs
If LCase(ctD(I).Cap) = LCase(nCap) Then CapToNum = I: Exit Function Next
CapToNum = -1
End Function
Private Function Ji(ByVal D As Long) As Long
'返回天体级别（编号为 D ）
Do
If ctD(D).Father = 0 Then Exit Do
D = ctD(D).Father: Ji = Ji + 1
Loop
End Function
Private Sub Timer1_Timer()
Run1 True
End Sub
Private Sub Run1(Optional nRun As Boolean, Optional UnRun As Boolean) '显示一次运行的瞬时状态
Dim wB As Single, hB As Single, X As Single, Y As Single, ZuY() As Long Dim I As Long, T As Long, Se As Long, r As Single
Dim CenX As Single, CenY As Single, InD As Boolean, InD1 As Boolean
'计算天体瞬时位置：相对与父天体的角度
For I = 0 To ctDs
If nRun Then
If UnRun Then X = ctD(I).Jiao - ctD(I).V * ctV Else X = ctD(I).Jiao + ctD(I).V * ctV
'保证数值在 0 到 ctP*2 的范围内
If X > ctP * 2 Then X = X - ctP * 2
If X
ctD(I).Jiao = X
End If
' If I = CapToNum("地球") Then Me.Caption = ctD(I).Jiao / ctP * 180 '调试代码****
ctD(I).X = ctBi * (ctD(I).a * Sin(ctD(I).Jiao) + ctD(I).c)
ctD(I).Y = ctBi * ctSeeBi * (ctD(I).b * Cos(ctD(I).Jiao))
'加上父天体的位置
ctD(I).X = ctD(I).X + ctD(ctD(I).Father).X: ctD(I).Y = ctD(I).Y +
ctD(ctD(I).Father).Y
Next
'移位参照系
CenX = ctD(ctCenter).X: CenY = ctD(ctCenter).Y '中心天体位置
For I = 0 To ctDs
ctD(I).X = CenX - ctD(I).X: ctD(I).Y = CenY - ctD(I).Y
Next
SortY ZuY '将天体按 Y 坐标排序，数组 ZuY() 返回排序后的天体序号
Picture1.Font.Size = 9: Picture1.ForeColor = &HFFFFFF
wB = Picture1.ScaleWidth * 0.5 - ctBW: hB = Picture1.ScaleHeight * 0.5 - ctBW '可视区大小
If Not ctTrack Then Picture1.Cls '保留轨迹，不擦除上次图像
If ctBW > 0 Then Picture1.Line (-wB, -hB)-(wB, hB), , B '可见区方框，调试代码****
For T = 0 To ctDs '按天体 Y 坐标依次画出各天体
I = ZuY(T) '天体实际编号
X = ctD(I).X: Y = ctD(I).Y: r = ctBi * ctD(I).r
If r
'画一个天体
Call SubGuiDao(I) '画 I 的卫星轨道：上半部分
InD = Not (X + r wB Or Y + r hB) '是否在可见区内
If ctD(I).Visible And InD Then
If ctD(I).IsHui Then Tail I, X, Y '画彗尾
Picture1.FillColor = ctD(I).Se: Picture1.FillStyle = 0 '打开填充
Picture1.Circle (X, Y), r, 0 '画天体
Picture1.FillStyle = 1 '关闭填充
End If
Call SubGuiDao(I, True) '画 I 的卫星轨道：下半部分
'显示天体名称
If ctD(I).ShowCap Then
If I = 0 Then
ShowStr wB, hB, ctD(I).Cap, X, Y - Picture1.TextHeight("A") * 0.5, True, 0
Else
ShowStr wB, hB, ctD(I).Cap, X, Y + r + 3, True
End If
End If
'画运动轨迹：上一个点和当前点的连线：有一个在可见区内
If ctTrack Then
InD1 = Not (ctD(I).xUp + r wB Or ctD(I).yUp + r hB)
If (InD Or InD1) And ctD(I).xUp 0 And ctD(I).yUp 0 Then
If ctBi
Picture1.DrawWidth = 1
End If
End If
'记忆上次位置
ctD(I).xUp = X: ctD(I).yUp = Y
Next
End Sub
Private Sub Tail(I As Long, X As Single, Y As Single)
'画天体 I 的 彗尾
Dim x0 As Single, y0 As Single, S As Single
Dim x1 As Single, y1 As Single, J As Single
'无压缩时的位置
x0 = ctD(I).a * Sin(ctD(I).Jiao): y0 = ctD(I).b * Cos(ctD(I).Jiao)
J = ctBi * Sqr((x0 + ctD(I).c) ^ 2 + y0 ^ 2) '与焦点（即：父天体）距离
S = ctBi * (ctD(I).a - ctD(I).c) ^ 2 / J - (ctD(I).a - ctD(I).c) / 5 '彗发长度：近日距离4/5
If S
S = S * ctBi
If S > Picture1.ScaleWidth Then S = Picture1.ScaleWidth
x1 = ctD(ctD(I).Father).X: y1 = ctD(ctD(I).Father).Y '父天体位置
x1 = S / J * (X - x1): y1 = S / J * (Y - y1)
Picture1.DrawMode = 14: Picture1.DrawWidth = ctD(I).r * 3 * ctBi + 1 Picture1.Line (X, Y)-Step(x1, y1), &H999999
Picture1.Line (X, Y)-Step(x1, y1), &H999999
Picture1.DrawWidth = 1: Picture1.DrawMode = 13
End Sub
Private Sub ShowStr(wB As Single, hB As Single, nStr As String, ByVal X As Single, ByVal Y As Single, Optional CenLR As Boolean, Optional Se As Long = -1)
'显示字符 wB,hB：可见区边界 CenLR = T：左右居中
Dim W As Single, H As Single, nSe As Long
W = Picture1.TextWidth(nStr): H = Picture1.TextHeight(nStr)
If CenLR Then X = X - W * 0.5
If X wB Or Y hB Then Exit Sub
Picture1.CurrentX = X: Picture1.CurrentY = Y: Picture1.Print nStr
If Se = -1 Then Exit Sub
nSe = Picture1.ForeColor: Picture1.ForeColor = Se
Picture1.CurrentX = X + 1: Picture1.CurrentY = Y + 1
Picture1.Print nStr
Picture1.ForeColor = nSe
End Sub
Private Sub SortY(ZuY() As Long)
'将天体按 Y 坐标排序，数组 ZuY() 返回排序后的天体序号
Dim I As Long, J As Long, K As Long, S As Long, y1 As Single
Dim Y() As Single
ReDim Y(0 To ctDs) 'Y() 用于视角为 0 的情况
For I = 0 To ctDs
If ctSeeBi = 0 Then
If ctD(I).Jiao > ctP * 0.5 And ctD(I).Jiao
Y(I) = ctD(I).b
Else
Y(I) = -ctD(I).b
End If
Y(I) = Y(I) + Y(ctD(I).Father) '加上父天体的 Y 坐标
Else
Y(I) = ctD(I).Y
End If
Next
ReDim ZuY(0 To ctDs)
ZuY(0) = 0
For I = 1 To ctDs
y1 = Y(I)
For J = 0 To I - 1
If y1
For K = I - 1 To J Step -1 '下移动已排序数组 J 之后的
ZuY(K + 1) = ZuY(K)
Next
ZuY(J) = I: GoTo Next1
End If
Next
ZuY(I) = I
Next1:
Next
End Sub
Private Sub GetXY(ByVal I As Long, Jiao As Single, CenX As Single, CenY As Single, X As Single, Y As Single)
'获取某天体 I 在 Jiao 位置的绝对位置
'CenX，CenY：父天体的位置
X = CenX - ctBi * (ctD(I).a * Sin(Jiao) + ctD(I).c)
Y = CenY - ctBi * ctSeeBi * ctD(I).b * Cos(Jiao)
End Sub
Private Sub SubGuiDao(I As Long, Optional IsDown As Boolean)
'画天体 I 的卫星轨道的一半
Dim W As Long
For W = 0 To ctDs
If W I And ctD(W).GuiDao And ctD(W).Father = I Then GuiDao W, IsDown Next
End Sub
Private Sub GuiDao(I As Long, Optional IsDown As Boolean)
'画轨道
Dim J As Single, X As Single, Y As Single, CenX As Single, CenY As Single Dim W1 As Single, H1 As Single, xUp As Single, yUp As Single, Is2 As Boolean
Dim InD As Boolean, InUpD As Boolean, J1 As Single, J2 As Single
Picture1.DrawWidth = 1
W1 = Picture1.ScaleWidth * 0.5 - ctBW: H1 = Picture1.ScaleHeight * 0.5 - ctBW
CenX = ctD(ctD(I).Father).X: CenY = ctD(ctD(I).Father).Y '父天体的位置 If IsDown Then
J1 = ctP * 0.5: J2 = ctP * 1.5 '下半部分
Else
J1 = ctP * 1.5: J2 = ctP * 2.5 '上半部分
End If
For J = J1 To J2 Step 0.05
Call GetXY(I, J, CenX, CenY, X, Y)
InD = Not (X W1 Or Y H1) '点1是否在可见区内 If Is2 And (InD Or InUpD) Then Picture1.Line (X, Y)-(xUp, yUp), ctD(I).Se xUp = X: yUp = Y: InUpD = InD: Is2 = True
Next
'末点：将轨道封闭
Call GetXY(I, J2, CenX, CenY, X, Y)
InD = Not (X W1 Or Y H1)
If InD Or InUpD Then Picture1.Line (X, Y)-(xUp, yUp), ctD(I).Se
End Sub
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