1. Kepler's Constant for the Sun is: C_s = 3.35 x10¹⁸ m³/s². Answer the following questions:
   1. A planets mean distance from the Sun is 2.0 x10¹¹ m. What will be its orbital period around the Sun?
   2. An asteroid has a mean radius of orbit of 4.8 x10¹¹ m. What will its orbital period around the Sun?

1. Calculate Kepler's Constant for the Earth (in m³/s²), using data from the table below.

1. Using Kepler's constant for the Earth, find the period of revolution for a spy satellite located one Earth radius above the surface of the Earth. Radius of the earth is 6.38 x 10⁶ m.

1. Mars has two moons; Phobos (Fear) and Deimos (Panic). Deimos has a period of 30 h 18 min and a mean distance from the centre of Mars of 2.3 x10⁴ km. If the period of Phobos is 7h 39min, what mean distance is it from the centre of Mars?
2. 1. Calculate the Kepler constant for each of the planetary systems listed in the chart. The units of kepler's constant should be km³/d² .
   2. Plot a graph of Kepler's Constant for each planet vs the mass of each planet.

Planet	Mass (me = 1)	Satellite	Orbital Radius (x103 km)	Period (d)
Earth	1	Moon	384.4	27.322
Mars	0.107	Phobos Deimos	9.38 23.46	0.319 1.262
Jupiter	318	Thebe Io Europa Elara	221.9 421.6 670.9 11737	0.675 1.769 3.551 259.7
Saturn	95.2	Janis Mimas Calypso	151.47 185.54 294.67	0.695 0.942 1.888
Uranus	14.5	Miranda Ariel Oberon	129.4 191.0 583.5	1.414 2.520 13.463
Neptune	17.2	Triton Nereid	355.3 5510	5.877 360.21
Pluto	0.002	Charon	19.7	6.387