User:JohnOwens/Sedna orbit

With reference to Orbital variables. I may tack on a few more significant digits in places than are really warranted.
To consider also: 4179 Toutatis

$M_{Sun}=1.989\times 10^{30}\text{kg}$
$\mu \equiv M_{Sun}G=1.327178\times 10^{20}\frac{{\text{m}}^3}{{\text{s}}^2}$
$590,000\text{m}\le r_{Sedna}\le 1,180,000\text{m}$
$1,180,000\text{m}\le d_{Sedna}\le 2,360,000\text{m}$
Assuming density equal to Pluto,
$1.76\times 10^{21}\text{kg}\le M_{Sedna}\le 1.41\times 10^{22}\text{kg}$
$a=463\text{AU}=6.93\times 10^{13}\text{m}$
$T=10,500\text{yr}=3.31\times 10^{11}\text{s}$
$\left|\mathbf{𝐡}\right|=5.263\times 10^{16}\frac{{\text{m}}^2}{\text{s}}$
${{ℰ}}_{orbital}=-958,000\frac{{\text{m}}^2}{{\text{s}}^2}$

$R_{peri}=76\pm 7\text{AU}=1.137\times 10^{13}\pm 0.105\times 10^{13}\text{m}$
$v_{peri}\equiv \frac{\left|\mathbf{𝐡}\right|}{R_{peri}}=4629\frac{\text{m}}{\text{s}}$
${{ℰ}}_{grav,peri}=11,700,000\frac{{\text{m}}^2}{{\text{s}}^2}$
${{ℰ}}_{kinetic,peri}=10,700,000\frac{{\text{m}}^2}{{\text{s}}^2}$

$R_{ap}=850\text{AU}=1.27\times 10^{14}\text{m}$
$v_{ap}\equiv \frac{\left|\mathbf{𝐡}\right|}{R_{ap}}=414\frac{\text{m}}{\text{s}}$
${{ℰ}}_{grav,ap}=1,040,000\frac{{\text{m}}^2}{{\text{s}}^2}$
${{ℰ}}_{kinetic,ap}=85,700\frac{{\text{m}}^2}{{\text{s}}^2}$

$R_{now}=90\text{AU}=1.35\times 10^{13}\text{m}$
$v_{now}=4,219\frac{\text{m}}{\text{s}}$
${{ℰ}}_{grav,now}=9,857,000\frac{{\text{m}}^2}{{\text{s}}^2}$
${{ℰ}}_{kinetic,now}=8,899,000\frac{{\text{m}}^2}{{\text{s}}^2}$

Unrelated, I just need a place to stick it:
(c*dT)^2 = (1-2*G*M/c^2/r)*(c*dt)^2 - (1-2*G*M/c^2/r)^-1*dr^2 - r^2*dtheta^2 - r^2*sin^2(theta)*dphi^2
$(cdT{)}^2=(1-2\frac{GM}{c^{2}r})(cdt{)}^2-{(1-2\frac{GM}{c^{2}r})}^{-1}d{r}^2-r^{2}d{\theta }^2-r^2{\sin }^2\theta d{\varphi }^2$