Areal velocity is constant: r² θ’ =h Kepler’s Law
h = 2π a b/T; b=a√ (1-ε²); a = mean distance value; ε = eccentricity
r² θ’= h = S² w’
Replace r with S = r exp (ỉ wt); h = [r² Exp (2iwt)] w’
w’ = (h/r²) exp [-2(i wt)]
w’= (h/r²) [cosine 2(wt) - ỉ sine 2(wt)] = (h/r²) [1- 2sine² (wt) - ỉ sin 2(wt)]
w’ = w’(x) + ỉ w’(y) ; w’(x) = (h/r²) [ 1- 2sine² (wt)]
w’(x) – (h/r²) = - 2(h/r²)sine²(wt) = - 2(h/r²)(v/c)² v/c=sine wt
(h/ r²)(Perihelion/Periastron)= [2πa.a√ (1-ε²)]/Ta² (1-ε) ²= [2π√ (1-ε²)]/T (1-ε) ²

Δ w’ = (d w/d t – h/r²] = -4π {[√ (1-ε²)]/T (1-ε) ²} (v/c) ² radian per second
Δ w’ = (- 4π /T) {[√ (1-ε²)]/ (1-ε) ²} (v/c) ² radians
Δ w’ = (-720/T) {[√ (1-ε²)]/ (1-ε) ²} (v/c) ² degrees; Multiplication by 180/π
Δ w’ = (-720×36526/T) {[√ (1-ε²)]/(1-ε)²} (v/c)² degrees/100 years
Δ w” = (-720×3600/T) {[√ (1-ε²)]/ (1-ε) ²} (v/c) ² seconds of arc by 3600

Δ w” = (-720×36526x3600/T) {[√ (1-ε²]/(1-ε)²} (v/c)² seconds of arc per century
This Kepler’s Equation solves all the problems Einstein and all physicists could not solve

The circumference of an ellipse: 2πa (1 - ε²/4 + 3/16(ε²)²- –.) ≈ 2πa (1-ε²/4); R =a (1-ε²/4) v=√ [G m M / (m + M) a (1-ε²/4)] ≈ √ [GM/a (1-ε²/4)]; m< Advance of Perihelion of mercury.

G=6.673×10^-11; M=2×10^30kg; m=.32×10^24kg
ε = 0.206; T=88days; c = 299792.458 km/sec; a = 58.2km/sec
Calculations yields:
v =48.14km/sec; [√ (1- ε²)] (1-ε) ² = 1.552
Δ w”= (-720×36526x3600/88) x (1.552) (48.14/299792)²=43.0”/century

Conclusions: The 43″ seconds of arc of advance of perihelion of Planet Mercury (General relativity) is given by Kepler’s equation better than all of Published papers of Einstein. Kepler’s Equation can solve Einstein’s nemesis DI Her Binary stars motion and all the other dozens of stars motions posted for past 40 years on NASA website SAO/NASA as unsolved by any physics

Anyone dare to prove me wrong?

“Update : Tonight MESSENGER is again flying by Mercury for the second time in its October 2008 fly-past. This thread is linked to that and now if youclick my name the link should take you back to the latest Bad Astronomy ‘MESSENGER-flies-by-Mercury’ thread. Providing it works … lets see ..”

Well I’ve just checked &, yes, the links working so you can click there to come here and click my name here to go back there folks.

Hope that is okay netiqutte-wise. Am trying to make things easier for fellow posters here. Please let me know if this is considered bad form or anything like that - don’t think it is, obviously, but not really too sure ..

Actually thinking netiquette is there a problem with acronymic names like MESEENGER which, being in all-capps, is like SHOUTING in net-ese? Would it be more polite or less (certainly less accurate I ’spose) to have MESSENGER written in lower-case ie. Messenger instead? Oh, & then if it is lower case there’s always the risk of confusing the spaceprobes name with the word ‘messenger’ itself .. Hmmm …

Tongue-twister potential here :

The MESSENGER team’s messenger came with the message that mercury had been discovered on Mercury and also that because saying MESSENGER not messenger sounds like shouting on-line the MESSENGER teams’ messenger wanted us to use ‘messenger’ instead of ‘MESSENGER’ - except for when also mentioning the MESSENGER’s teams messenger!

This thread is linked to that and now if youclick my name the link should take you back to the latest Bad Astronomy ‘MESSENGER-flies-by-Mercury’ thread.

Providing it works … lets see ..

PS. Oh & more good news - Huckabee didn’t make McCain’s Vice-Presidential choice or Republican nomineee and looks like fading away with his 15 minutes of fame (too long IMHO) well and truly over … The bad news o’course being that Sara Palin seems like a female Huckabee clone.