Question

A comet orbits the Sun in 4,063 years. What is its average orbital distance from the Sun? Express your answer in AU (enter "AU" for units) and round it to the nearest integer А. An asteroid orbits the Sun at an average orbital distance of 3.12 AU. What is its average orbital period? Express your answer in years (enter "years" for units) and round it to two decimals. В. A moon orbits a planet in 1.5 days. What is the mass of the planet if its average orbital radius is 447,685 kilometers? Express your answer in terms of MEarth (MEarth 5.97 x 1024 kg: round your answer to two decimals, no unit required) С. D. Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit? days (round your answer to the nearest integer).

Answer 1

Т- Чо63 Хrs- - 2т ру . Vom ъъ N r" - "х1 59X. 3. Кір - Чо 6 3 х 3-15х7 27 с (121x" 3.2 Хр Ч. 1 СЗХ 2 ) 5 x 10 2т - 10 1.1 S 2 x jo ху. o 63X3+) { x )о 2л 2) . . 2. 366x Jo co- 2346 xjo" 13 r- (o-zsts)" хо". м - о. 3 &ъч хJo'“. - хот ,

r = 3.804 X Jo m. = 3.804 x 10 m -AU 1.5 X 10" m = 2.5398x16? AU Ž 23 254 A.U. r Tr= 254 AU - 3.18 AU = 3-12x1.5x 10 m, 12 4.68 Xlom. 0.468 Xlom NGM 312 205 x (0.468) 18 X10 seo V 6.6*X). "" X 1199X1636 z 211 x 0-3202 x 1018 see N13.27 x 1757 - 200118 x 1018 111519 xromos 1.7405 X 108 see =

- |- 6 5 X6 yn 3.15 x 67 TT 1 = 5.54 years ? T = los days X) o° , 6 8 = 1.94 6 8 r - k l LTE 2100 mm 20 T 12 o 2pp2 M= 672 = 489-8696x (4.4768913 x 1024 6.67X10" X (1.5X 86400) ² M M = 3-1618 890't hg 3.16 xone hung 3.618 = 3.1618 x 10 + 4 5.97 X 1024 kg

- о. $2 36 x) 4 Mplanet = 529.61 Mearth . Тв - ? - Чr 12- т° 43 : (* (*) ? ) - (+) - - сч Твор 20 days ПТ