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The orbital speed of a body with negligible mass compared to the central one,

in a circular orbit, is

v = square root of ( G M/R ) G = the universal gravitational constant = 6.67 x 10-11nt-m2 / kg2

M = mass of the central body; Venus' mass = 4.8676 x 1024 kg (0.815 of Earth)

R = radius of the orbit; Venus' mean radius = 6,051.8 km

The distance around a surface-skimming orbit is the planet's circumference.

C = (2 pi R); Venus's circumference = 12,103.6 x 103 pi

The period is 12,103.6 x 103 pi/v

The whole mess, all in one, is

T = C sqrt(R/G M)

T = (12,103.6 x 103 pi) sqrt(6051.8 x 103/6.67 x 4.8676 x 1013) . From that, I get T = 5,296.7 seconds = 1hr 28min 17sec

To check it, the only thing I have to compare it with is that, from my half-vast

trove of useless knowledge, I know the corrresponding period for Earth to be

86 minutes = 1hr 26min. I learned that when Sputnik-1 launched while I was in

high school.

Being at a radius 0.95 as large, around 0.815 as much central mass, the

1:28 that I got seems reasonable, at least within an order of magnitude.

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