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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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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: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)
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
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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