What to measure or predict

Formula

How

Is it easy to do?

Knowledge of G or M

Exact solution (strong and weak fields):

Schwarzschild radius

$r_s=\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}$

Light observations only

Yes

No

Gravitational acceleration

$g=\frac{1}{2}\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{c^2}{R^2}$

Light observations only

Yes

No

Orbital velocity

$v_o=c\sqrt{\frac{1}{2}\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

Escape velocity

$v_e=c\sqrt{\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

Time dilation

$t_2=t_1\sqrt{1-\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

GR bending of light

$\delta =\frac{2R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{1}{R}$

Light observations only

Yes

No

Gravitational redshift

${\lim }_{R_h\to \infty }z\left(R_L\right)=\frac{1}{2}\frac{R_L{R}_h\left({\lambda }_h^2-{\lambda }_L^2\right)}{{\lambda }_h^2{R}_h-{\lambda }_L^2{R}_L}\frac{1}{R}$

Light observations only

Yes

No

Weak field approximations:

Schwarzschild radius

$r_s=\frac{2R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}$

Light observations only

Yes

No

Gravitational acceleration

$g=\frac{R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{c^2}{R^2}$

Light observations only

Yes

No

Orbital velocity

$v_o=c\sqrt{\frac{R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

Escape velocity

$v_e=c\sqrt{\frac{2R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

Time dilation

$t_2=t_1\sqrt{1-\frac{2R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{1}{R}}$

Light observations only

Yes

No

GR bending of light

$\delta =4\frac{R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{1}{R}$

Light observations only

Yes

No

Gravitational redshift

${\lim }_{R_h\to \infty }z\left(R\right)=\frac{R_L{R}_h\left({\lambda }_h-{\lambda }_L\right)}{{\lambda }_h{R}_h-{\lambda }_L{R}_L}\frac{1}{R}$

Light observations only

Yes

No