Then the radius vectors from the axis to all particles undergo the same angular displacement in the same time.
2.
This simple analysis can also apply to non-circular motion if only the component of the motion which is perpendicular to the radius vector is considered.
3.
With this relationship between \ lambda and \ phi, the radius vector becomes a parametric function of one variable, tracing out the loxodrome on the sphere:
4.
The quantity omega ( \ Omega ) in this last equation is similar to the Coulomb potential, except that the radius vector is shifted by an imaginary amount.
5.
Docking occurred at 9 am EDT, 29 June, using R-Bar or Earth radius vector approach, with " Atlantis " closing in on Mir from directly below.
6.
Where \ hat { u } _ R ( t ) is the unit vector parallel to the radius vector at time " t " and pointing away from the origin.
7.
The 48 vertices ( or strictly speaking their radius vectors ) of the union of the 24-cell and its dual form the root system of type reflections through the hyperplanes orthogonal to the F 4 roots.
8.
Letting \ boldsymbol { \ rho } be the radius vector of the osculating orbit, \ mathbf { r } the radius vector of the perturbed orbit, and \ delta \ mathbf { r } the variation from the osculating orbit,
9.
Letting \ boldsymbol { \ rho } be the radius vector of the osculating orbit, \ mathbf { r } the radius vector of the perturbed orbit, and \ delta \ mathbf { r } the variation from the osculating orbit,
10.
Where m _ 0 is the mass of the particle, \ hat { p } is the momentum operator, and the potential V ( r ) depends only on r, the modulus of the radius vector "'r " '.
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