Girish Mahajan (Editor)

BSTAR

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BSTAR is a way of modeling aerodynamic drag on a satellite in the SGP4 satellite orbit propagation model.

Traditionally, aerodynamic resistance ("drag") is given by

F D = 1 2 ρ C d A v 2

where ρ is the air density, C d is the drag coefficient, A is the frontal area, and v is the velocity.

The acceleration due to drag is then

a D = F D m = ρ C d A v 2 2 m

In aerodynamic theory, the factor

B = C d A m

is called the ballistic coefficient, and its unit is area per mass. Further incorporating a reference air density and the factor of two in the denominator, we get the starred ballistic coefficient:

B = ρ 0 B 2 = ρ 0 C d A 2 m

thus reducing the expression for the acceleration due to drag to

a D = ρ ρ 0 B v 2

As it can be seen, B has a unit of inverse length. For orbit propagation purposes, there is a field for BSTAR drag in Two-line element set (TLE) files, where it is to be given in units of inverse Earth radii. The corresponding reference air density is given as 2.461e-5 kg/m^2/Earth radii.

References

BSTAR Wikipedia