r = 116 km
t = 24 hours
v = 116 *2*pi /24 hour
v = 30.35 km/hr
v = 8.43 m/sec
a = v^2/r
a = 0.0006126 m/s^2
Now to the Universal law of gravitation
F= G Mm/r^2
a = GM /r^2 ... for a satellite orbiting a main body.
M = a r^2/G
M =( 0.0006126 m/s^2 x (116000m)^2/ (6.673 x 10^-11 m3/kg s^2 )
M = 1.2353 x 10^17 kg
b)
Density = Mass/volume
= (1.2353 x 10^17 kg / 14100 km^3
= 8.76 x10^12 kg/km
= 8.76 x 10^3 kg/m^3
In 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and an orbiting...
In 1993 the spacecraft Galileo sent home an image (the figure) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asteroid–moon system. In the image, the moon, which is 1.5 km wide, is 100 km from the center of the asteroid, which is 55 km long. The shape of the moon's orbit is not well known; assume it is circular with a period of 27 h. (a) What is the...
In 1993 the spacecraft Galileo sent home an image of asteroid 243 Ida and a tiny orbiting moon, now known as Dactyl. This was the first example of an asteroid-moon system. The moon is only about 1.5 km wide and Ida is about 55 km long. The orbit of Dactyl is not well known, however it can be used to make an estimate of Ida’s mass. (a) If we assume that Dactyl’s orbit is circular, with a radius of 87...
Question 9 In 1993 the spacecraft Galileo sent home an image (the figure) of asteroid 243 Ida and a tiny orbiting moon (now known as Dactyl), the first confirmed example of an asterold-moon system. In the image, the moon, which is 1.5 km wide, is 100 km from the center of the asteroid, which is 55 km long. The shape of the moon's orbit is not well known; assume it is circular with a period of 27 h. (a) What...
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