Determine the distance h for which the spacecraft S will experience equal attractions from the earth and from the sun. Use Table D/2 of Appendix D as needed. Assume L-210 000 km. SX- Sun Answer: h-i Not to scale Earth L (105) km
Determine the distance h for which the spacecraft S will experience equal attractions from the earth and from the sun. Use Table D/2 of Appendix D as needed. Assume L-210 000 km. SX- Sun Answer: h-i Not to scale Earth L (105) km
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
Transcribed Image Text:Universal gravitational constantG=6.673(10-11) m3/(kg-s2)=3.439(10-8) ft4/(lb-sec4)Mass of Earthme=5.976(1024) kg-4.095(1023) lb-sec2/ftPeriod of Earth's rotation (1 sidereal day)=23 h 56 min 4 s=23.9344 hAngular velocity of
Earthw=0.7292(10-4) rad/sMean angular velocity of Earth-Sun linew'=0.1991(10-6) rad/sMean velocity of Earth's center about Sun-107 200 km/h-66,610 mi/hr
Body Mean Distance to Sun km (mi) Eccentricity of Orbit e Period of Orbit solar days Mean Diameter km (mi) Mass Relative to Earth Surface Gravitational Acceleration m/s² (ft/sec²) Escape Velocity km/s (mi/sec)
Sun
1 392 000
333 000
274
616
(865 000)
(898)
(383)
Moon
0.055
27.32
3 476
0.0123
(2 160)
384 398¹
(238 854)¹
57.3 × 106
(35.6 x 106)
Mercury
0.206
87.97
5 000
0.054
(3 100)
Venus
108 x 106
0.0068
224.70
12 400
0.815
(7 700)
(67.2 x 106)
149.6 x 106
Earth
0.0167
365.26
12 742²
1.000
(7 918)²
Mars
(92.96 × 106)
227.9 x 106
(141.6 × 106)
0.093
686.98
0.107
6 788
(4218)
Jupiter4
778 x 106
0.0489
4333
317.8
(483 × 106)
1 yr
139 822
(86 884)
1.62
(5-32)
3.47
(11.4)
8.44
(27.7)
9.8213
(32.22)3
3.73
(12.3)
24.79
(81.3)
2.37
(1.47)
4.17
(2.59)
10.24
(6.36)
11.18
(6.95)
5.03
(3.13)
59.5
(36.8)

Transcribed Image Text:Determine the distance h for which the spacecraft S will experience equal attractions from the earth and from the sun. Use Table D/2
of Appendix D as needed.
Assume L = 210 000 km.
Sun
Earth
Answer: h= i
Not to scale
(105) km
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