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 4 deleted 27 characters in body edited Apr 2 '15 at 1:12 Organic Marble 82.7k44 gold badges249249 silver badges355355 bronze badges Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for $$T$$.... Simplistically: For a circular orbit orbital velocity is constant at $$\sqrt{(G/r)(M+m)}$$ So for orbital period: you know $$r$$ (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is $$r$$. Mass of the satellite (assuming it's artificial) is kinda negligible ($$M+m$$) where $$M$$ is the primary. You are right about the geosynchronous orbit...but the period is determined by the radius... props to HDE 22686 for adding the math graphics. Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for $$T$$.... Simplistically: For a circular orbit orbital velocity is constant at $$\sqrt{(G/r)(M+m)}$$ So for orbital period: you know $$r$$ (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is $$r$$. Mass of the satellite (assuming it's artificial) is kinda negligible ($$M+m$$) where $$M$$ is the primary. You are right about the geosynchronous orbit...but the period is determined by the radius... You could just solve your first equation for $$T$$.... Simplistically: For a circular orbit orbital velocity is constant at $$\sqrt{(G/r)(M+m)}$$ So for orbital period: you know $$r$$ (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is $$r$$. Mass of the satellite (assuming it's artificial) is kinda negligible ($$M+m$$) where $$M$$ is the primary. You are right about the geosynchronous orbit...but the period is determined by the radius... props to HDE 22686 for adding the math graphics. 3 added 24 characters in body edited Apr 2 '15 at 1:09 HDE 226868 2,61211 gold badge1313 silver badges3838 bronze badges Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for T$$T$$.... Simplistically: For a circular orbit orbital velocity is constant at sqrt((G/r)(M+m))$$\sqrt{(G/r)(M+m)}$$ soSo for orbital period: you know r$$r$$ (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is r$$r$$. Mass of the satellite (assuming it's artificial) is kinda negligible (M+m$$M+m$$) where M$$M$$ is the primary. You are right about the geosyngeosynchronous orbit...but the period is determined by the radius... Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for T.... Simplistically: For a circular orbit orbital velocity is constant at sqrt((G/r)(M+m)) so for orbital period: you know r (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is r Mass of the satellite (assuming it's artificial) is kinda negligible (M+m) where M is the primary. You are right about the geosyn orbit...but the period is determined by the radius... Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for $$T$$.... Simplistically: For a circular orbit orbital velocity is constant at $$\sqrt{(G/r)(M+m)}$$ So for orbital period: you know $$r$$ (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is $$r$$. Mass of the satellite (assuming it's artificial) is kinda negligible ($$M+m$$) where $$M$$ is the primary. You are right about the geosynchronous orbit...but the period is determined by the radius... 2 added 19 characters in body edited Apr 2 '15 at 0:22 Organic Marble 82.7k44 gold badges249249 silver badges355355 bronze badges Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for T.... Simplistically: For a circular orbit orbital velocity =is constant at sqrt((G/r)(M+m)) so for orbital period: you know r (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is r Mass of the satellite (assuming it's artificial) is kinda negligible (M+m) where M is the primary. You are right about the geosyn orbit...but the period is determined by the radius... Apologies, I don't know how to do the math graphics so I'll try it in words For a circular orbit orbital velocity = sqrt((G/r)(M+m)) so for orbital period: you know r, so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is r Mass of the satellite (assuming it's artificial) is kinda negligible (M+m) where M is the primary. You are right about the geosyn orbit...but the period is determined by the radius... Apologies, I don't know how to do the math graphics so I'll try it in words You could just solve your first equation for T.... Simplistically: For a circular orbit orbital velocity is constant at sqrt((G/r)(M+m)) so for orbital period: you know r (also constant), so calculate the length of the orbit (circumference, assuming it's a circle) and period is just length / velocity Notice for a given primary the only thing that really matters is r Mass of the satellite (assuming it's artificial) is kinda negligible (M+m) where M is the primary. You are right about the geosyn orbit...but the period is determined by the radius... 1 answered Apr 2 '15 at 0:16 Organic Marble 82.7k44 gold badges249249 silver badges355355 bronze badges