This article is a compilation of technical results that I obtained through my research. The ideas of this article thus will be comprehended mostly perhaps by only an expert of satellite technology and/or a general Physicist, nevertheless only after he/she also goes through preceding analysis and descriptive-content, the last one is linked below.

Flyby-Anomaly for Galileo-I, solved.

I had missed one unit earlier (– see below) *in the computations I had carried out,* this anomaly is explained by Theory of Relativity contrary to what was claimed so-far.

SO OPERA-anomaly could be somewhat more of a PIA than flyby-anomaly, — I would call flyby anomaly**: **a** puzzle** rather and opera anomaly**: **an adventure of hype.

Here (in flyby analysis) I use weak-field approximation, hyperbolic corrections to satellite’s energy which causes a deviation from circular orbits such as **GPS-**satellite, and *trajectory parameters* as given by Galileo-I radar-data.

I did not (?) use earth-spin about which people beat around a lot of bush, I recover increment-speed-at-infinity very close to **3.92 **mm/s (– I get **3.96 **mm/s, see below) and at perigee an increase in speed close to **2.92 **mm/s (– I get **3.28 **mm/s).

I might be making a relative sign mismatch or inclination parameter maladjustment. *So I will review it more* …

I get exact *qualitatively* “similar curve” as well, for the speed as shown by Galileo-I radar-data**.**

I get exactly **3.92 **mm/s at** infinity**,* if I add*, earth-spin**:** of **1% **of** static earth.**

The earth-spin in opposite direction then gives exactly an **error **of** 0.07** which is what they have in their **data** … other effects near perigee may fix the speed-increment-at-perigee ( — see below, *Doppler shift itself may correct this*)

The special-relativistic effect **will** anyway make this speed-increment at perigee closer to the observed value.

1st of all the *angle of deflection at near perigee* makes the effect smaller than what it would be: for *circular motion relative to the static earth* effect.

*Here is the equation *if you want to play around with it;

static earth effect for flyby Galileo-I: (– Again static earth)

**x ( **eg.** 1500)**

(earth spin) + or – 0.00396.

**x = 0.15 **perigee, this is at 1 GHz radar, x is ratio between altitude and earth radii.

0.6761 is cosine-of-angle-of-deflection,

1.254 is 1/(cosine-of-inclination),

0.233 is the correction from hyperbola.

I had missed my “speed of light unit” here, **earlier**, like I fixed that for static earth on earth surface and had order of 10^-{9}, now I get order of 10^-{9} again, makes life easier thus.

I will try to make a plot, I do already have a plot, need to play with my newly installed gnuplot**,** to save a plot-file, **I know**: set output ‘test.png’. Later I would upload scanned copies of other calculations …

Categories: anomaly, approach to understand Universe, astrophysics, author, basic physics, celestial mechanics, manmohan dash, new experiment/theory results, Physics, post, Relativity, Research, Research Article, Research Progress, status

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