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Hi all,
I have a question on the movement of a point on a sphere.
Consider a point [tex]P(\theta,\phi)[/tex] ([tex]\theta[/tex] and[tex]\phi[/tex] are the latitude and the longitude, respectively)moving from a point [tex]P_1(\theta_1,\phi_1)[/tex] to a point [tex]P_2(\theta_2,\phi_2)[/tex] with a constant speed [tex]v[/tex].
How to find the latitude and the longitude of [tex]P(\theta,\phi)[/tex] (the expression of [tex]\theta[/tex] and [tex]\phi[/tex]) if we suppose that the trajectory is the shortest distance between [tex]P_1[/tex] and [tex]P_2[/tex] ?
thanks.
I have a question on the movement of a point on a sphere.
Consider a point [tex]P(\theta,\phi)[/tex] ([tex]\theta[/tex] and[tex]\phi[/tex] are the latitude and the longitude, respectively)moving from a point [tex]P_1(\theta_1,\phi_1)[/tex] to a point [tex]P_2(\theta_2,\phi_2)[/tex] with a constant speed [tex]v[/tex].
How to find the latitude and the longitude of [tex]P(\theta,\phi)[/tex] (the expression of [tex]\theta[/tex] and [tex]\phi[/tex]) if we suppose that the trajectory is the shortest distance between [tex]P_1[/tex] and [tex]P_2[/tex] ?
thanks.