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How far from Neptune must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Neptune's pull? 2.6e5 km

How far from Neptune must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Neptune's pull? 2.6e5 km

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How far from Neptune must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Neptune's pull? (Use data from Appendix C.) 2.6e5 km
Transcribed Image Text:How far from Neptune must a space probe be along a line toward the Sun so that the Sun's gravitational pull on the probe balances Neptune's pull? (Use data from Appendix C.) 2.6e5 km
A PPE N DIX SOME ASTRONOMICAL DATA Some Distances from Earth To the Moon* 3.82 x 10° m To the center of our galaxy To the Andromeda Galaxy 2.2 x 10 m To the Sun* 1.50 x 10" m 2.1 x 102 m To the nearest star (Proxima Centauri) 4.04 x 101 m To the edge of the observable universe -10 m *Mean distance. The Sun, Earth, and the Moon Property Unit Sun Earth Мoon 1.99 x 10 6.96 x 10 Mass kg 5.98 х 104 7.36 x 102 Mean radius 6.37 x 10 1.74 x 10 m kg/m m/s Mean density 1410 5520 3340 Free-fall acceleration at the surface 274 9.81 1.67 Escape velocity km/s 618 11.2 2.38 37 d at poles 26 d at equator 3.90 x 10 Period of rotation" 23 h 56 min 27.3 d Radiation power "Measured with respect to the distant stars. "The Sun, a ball of gas, does not rotate as a rigid body. Just outside Earth's atmosphere solar energy is received, assuming normal incidence, at the rate of 1340 W/m. Some Properties of the Planets Mercury Venus Earth Мars Jupiter Saturn Uranus Neptune Pluto Mean distance from Sun, 57.9 108 150 228 778 1430 2870 4500 5900 10° km Period of revolution, y 0.241 0.615 1.00 1.88 11.9 29.5 84.0 165 248 Period of rotation," d 58.7 -243 0.997 1.03 0.409 0.426 -0.451 0.658 6.39 Orbital speed, km/s 47.9 35.0 29.8 24.1 13.1 9.64 6.81 5.43 4.74 Inclination of axis to orbit <28 -3° 23.4 25.0° 3.08 26.7° 97.9° 29.6° 57.5° Inclination of orbit to 7.00 3.39 1.85° 1.30° 2.49° 0.77° 1.77° 17.2 Earth's orbit Eccentricity of orbit 0.206 0.0068 0.0167 0.0934 0.0485 0.0556 0.0472 0.0086 0.250 Equatorial diameter, km 4880 12 100 12 800 6790 143 000 120 000 51 800 49 500 2300 Mass (Earth = 1) 0.0558 0.815 1.000 0.107 318 95.1 14.5 17.2 0.002 Density (water = 1) 5.60 5.20 5.52 3.95 1.31 0.704 1.21 1.67 2.03 Surface value of g." m/s 3.78 8.60 9.78 3.72 22.9 9.05 7.77 11.0 0.5 Escape velocity," km/s 4.3 10.3 11.2 5.0 59.5 35.6 21.2 23.6 1.3 Known satellites 1 2 67 + ring 62 + rings 27 + rings 13 + rings 4
Transcribed Image Text:A PPE N DIX SOME ASTRONOMICAL DATA Some Distances from Earth To the Moon* 3.82 x 10° m To the center of our galaxy To the Andromeda Galaxy 2.2 x 10 m To the Sun* 1.50 x 10" m 2.1 x 102 m To the nearest star (Proxima Centauri) 4.04 x 101 m To the edge of the observable universe -10 m *Mean distance. The Sun, Earth, and the Moon Property Unit Sun Earth Мoon 1.99 x 10 6.96 x 10 Mass kg 5.98 х 104 7.36 x 102 Mean radius 6.37 x 10 1.74 x 10 m kg/m m/s Mean density 1410 5520 3340 Free-fall acceleration at the surface 274 9.81 1.67 Escape velocity km/s 618 11.2 2.38 37 d at poles 26 d at equator 3.90 x 10 Period of rotation" 23 h 56 min 27.3 d Radiation power "Measured with respect to the distant stars. "The Sun, a ball of gas, does not rotate as a rigid body. Just outside Earth's atmosphere solar energy is received, assuming normal incidence, at the rate of 1340 W/m. Some Properties of the Planets Mercury Venus Earth Мars Jupiter Saturn Uranus Neptune Pluto Mean distance from Sun, 57.9 108 150 228 778 1430 2870 4500 5900 10° km Period of revolution, y 0.241 0.615 1.00 1.88 11.9 29.5 84.0 165 248 Period of rotation," d 58.7 -243 0.997 1.03 0.409 0.426 -0.451 0.658 6.39 Orbital speed, km/s 47.9 35.0 29.8 24.1 13.1 9.64 6.81 5.43 4.74 Inclination of axis to orbit <28 -3° 23.4 25.0° 3.08 26.7° 97.9° 29.6° 57.5° Inclination of orbit to 7.00 3.39 1.85° 1.30° 2.49° 0.77° 1.77° 17.2 Earth's orbit Eccentricity of orbit 0.206 0.0068 0.0167 0.0934 0.0485 0.0556 0.0472 0.0086 0.250 Equatorial diameter, km 4880 12 100 12 800 6790 143 000 120 000 51 800 49 500 2300 Mass (Earth = 1) 0.0558 0.815 1.000 0.107 318 95.1 14.5 17.2 0.002 Density (water = 1) 5.60 5.20 5.52 3.95 1.31 0.704 1.21 1.67 2.03 Surface value of g." m/s 3.78 8.60 9.78 3.72 22.9 9.05 7.77 11.0 0.5 Escape velocity," km/s 4.3 10.3 11.2 5.0 59.5 35.6 21.2 23.6 1.3 Known satellites 1 2 67 + ring 62 + rings 27 + rings 13 + rings 4
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