Line

Symbol

Formula

Value

Description

Mars & Body C as moons of Planet V

1

observed

 398600 km³/s²

gravitational constant for Earth

2

observed

887.128 au km²/s²

gravitational constant for Sun

3

fission theory

  0.000

Planet V original solar eccentricity

4

estimate

  1.5   au

Planet V original solar mean distance

5

 24.319 km/s

Planet V original circular orbit speed

6

Appendix I

 0.86

mass ratio for twins in fission theory

7

observed

 0.1074 Å

mass, Mars

8

 0.0924 Å

mass, Body C

9

 0.1998 Å

combined mass of two moons

10

parameter

 2.353  Å

mass of Planet V

11

 2.4604 Å

system mass out to Mars orbit

12

 2.5528 Å

system mass out to Body C orbit

13

parameter

 0.836  days

period, Mars around Planet V

14

 1.672  days

period, Body C around Planet V

15

observed

   3386 km

Mars radius

16

   3220 km

C radius

17

[8]

     43 Åkm²/s

Mars rotational angular momentum

18

[8]

     17 Åkm²/s

Body C rotational angular momentum

19

[1]

  50607 km

mean distance, Planet V - Mars

20

[1]

  81326 km

mean distance, Planet V - Body C

21

[4]

  4.402 km/s

velocity, Mars

22

[4]

  3.537 km/s

velocity, Body C

23

[8]

   5308 Åkm²/s

Mars-C orbital angular momentum

Explosion of Planet V

24

parameter

  3.37  km/s

explosion debris speed parameter

25

  4.171 hours

fragment time to Mars orbit

26

  6.703 hours

fragment time to Body C orbit

27

Figure 2

 74.84°

M azimuth when debris wave at M

28

Figure 2

 60.14°

C azimuth when debris wave at C

29

Figure 2

( 13231,  48847)

M at debris arrival

30

Figure 2

(-4.249,  1.151)

M velocity at debris arrival

31

Figure 2

( 40493,  70528)

C at debris arrival

32

Figure 2

(-3.068,  1.761)

C velocity at debris arrival

33

Figure 2

  2.532  hours

debris travel time, M orbit to C orbit

34

Figure 2

( 60610,   8409)

average M-C vector

35

Figure 2

(9.74, 1.35)x10^-6

M acceleration during

36

Figure 2

(-4.160,  1.163)

M velocity when debris arrives at C

37

Figure 2

(-25097,  59394)

M position when debris arrives at C

38

Figure 2

( 65590,  11135)

C vector from M

39

Figure 2

  66529 km

C-M separation

40

Figure 2

( 1.093,  0.598)

C vel. Relative to M at debris arrival

41

Figure 2

  1.246 km/s

C-M relative speed

42

Figure 2

  1.547 km/s

escape speed from C&M

43

Figure 2

  0.326

prograde/retrograde indicator

44

[7]; Figure 3

(-3.655,  1.440)

C-M center-of-mass velocity

45

Figure 3

(-3.655, 25.759)

C-M center-of-mass velocity wrt Sun

46

Figure 3

 26.017 km/s

C-M center-of-mass speed wrt Sun

47

Figure 3

  1.753 au

C-M mean distance change wrt Sun

48

[9]; Figure 3

 38.64  km²/s

C-M angular momentum wrt Sun

49

Figure 3

  0.2005

C-M eccentricity wrt Sun

50

[10]

  1.402 au

C-M pericenter distance wrt Sun

51

[6]

 27.564 km/s

C-M speed wrt Sun

Orbit of Body C around Mars

52

parameter

  0.72

M-C tidal evolution parameter

53

parameter

  1.00

solar tidal evolution parameter

54

[6]

  94555 km

initial mean distance

55

[9]

  0.950

initial eccentricity

56

  0.0

correction to initial mean distance

57

  0.0

correction to initial eccentricity

58

[6]

  99555 km

evolved mean distance

59

[9] *

  0.684

evolved eccentricity

60

[1]

  7.49  days

orbital period

61

[10]

  29869 km

pericenter distance

62

[6] with r = q

  2.119 km/s

speed at pericenter

63

86400

  6.129 rad/day

angular velocity at pericenter

64

  1.025 days

final tidal lock rotation period of Mars

Explosion of Body C and final orbit of Mars

65

parameter

  0.58

debris wave speed scale factor

66

Appendix V

  1.955 km/s

debris wave speed for Body C

67

Appendix V

  13810 km

Mars-only pericenter distance

68

Appendix V

  0.5907

3^rd coefficient in F

69

Appendix V

  0.6730

½ true anomaly parameter

70

Appendix V

  2.3090

velocity coefficient

71

Appendix V

( 1.125, -1.412)

residual Mars velocity wrt Sun

72

Appendix V

( 1.125, 26.152)

residual Mars speed wrt Sun

73

Appendix V

 26.176 km/s

Mars-only speed at pericenter wrt Sun

74

Appendix V

  1.528 au

final mean distance of Mars

75

Appendix V

  0.0931

final eccentricity of Mars

76

observed

  0.0934

Mars eccentricity today

77

observed

  1.524 au

Mars mean distance today

78

observed

  1.026 days

Mars rotation period today