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UFT is an abbeviation for Unified Field Theory to unify electric forces and gravity.

Gravity to electric force ratio is defined as

GEFR = GF/EF

The GEFR for an electron of hydrogen is

$GEFR = (G m_p m_e /r^2 )/ (e^2 / 4 \pi \epsilon_0 r^2 )$ $= ( d^2 r/r_{SE} )^2$

where $r_{SE}$is the distance between sun and earth. and dd is about 62.6( dddd=3918.8).

Thus we have arrived at inverse square square station of UFT. In this station, gravity equation is manipulated as follows

$F = (G r_{SE}^2) M m /(dr)^4$

$F = G' M m /r^4$

where G' is gravitational constant of inverse biquadrate gravitional law ~4.257 $X 10^8 m^5/kg/s^2$.

This theory couldn't be published because density of earth is extremely low. Conventional over 5 ton/$m^3$ decreases less than 100 gram/$m^3$ in this theory. 35gram/$m^3$.

It is conventional to integrate by differential sphere shell. omitting directional cosine term for astronomic object,

$dF/m_1 = G' dm/(R^2 - r^2 )^2$

## Inverse Biquadrate Gravity Edit

It is preferable to determine G" from mass of earth and gravitational acceleration.

Failed to parse (lexing error): G" = g r_{E}^4 /M_e

To avoid diverging integration, It is better to determine G' from mass of earth and distance from the moon.

Failed to parse (lexing error): G" = r_{EM}^5 \omega_{ME} ^2 /M_e

Then GEFR for an electron of hydrogen becomes

Failed to parse (lexing error): GEFR = G"/G'=2.46 %

Mass and density of sun is very high compared earth in this scheme.

It is notable that density of Neptune is less than half of earth in the inverse square scheme.

Table of synodic periods in the Solar System, relative to Earth:

 Sid. P. (a) Syn. P. (a) Syn. P. (d) Mercury 0.241 0.317 115.9 Venus 0.615 1.599 583.9 Earth 1 — — Moon 0.0748 0.0809 29.5306 Mars 1.881 2.135 780.0 4 Vesta 3.629 1.380 504.0 1 Ceres 4.600 1.278 466.7 10 Hygiea 5.557 1.219 445.4 Jupiter 11.87 1.092 398.9 Saturn 29.45 1.035 378.1 Uranus 84.07 1.012 369.7 Neptune 164.9 1.006 367.5 134340 Pluto 248.1 1.004 366.7 136199 Eris 557 1.002 365.9 90377 Sedna 12050 1.00001 365.1

### Combination Edit

If we combine inverse square and inverse biquadrate gravity to meet the GEFR = 1 condition easily.

$F = G Mm/r^2 (1+G'/Gr^2)$

Above combination doesnt work. Tuning exponent from 4 is available method of meeting the condition.

n= 4.16545035

## gravitational accelerationEdit

Although the integration diverges at surface, Gravitational acceleration g could be integrated with directional cosine term in the inverse biquadrate scheme. The rersult doesn't work for nearfield gravity. It is properable to use noninterger exponent. and probably the density of earth is less than that of the moon.    or Structure of the Earth‎ should be modified with inverse biquadrate forces.

According to Wien approximation, I(ν,T) ( the amount of energy per unit surface area per unit time per unit solid angle per unit frequency emitted at a frequency ν )is function of ν and temperature. Equation of nearfield gravitational acceleration is given as follows.

$mgo_{me} = v_{dm} dm/dt$

## Earth Moon distance and forcesEdit

In the conventional inverse square scheme, The Moon is exceptionally large relative to the Earth, being a quarter the diameter of the planet. and the Earth and Moon are still commonly considered a planet-satellite system instead of double planet

From Angular mometum conservation,

$I_m \omega_m sin \theta_m = I_e \omega_e sin \theta_e$

If we assume equivalent density for moon and earth,

Rm/Re =2.626.

then $d_{me} = 0.38M* 2.626/0.273$ =3.656 Giga Meter

Then Inverse biquadrate Gravity constant is G" should be multiplied by 9.549*9.549.

$GEFR = 9.549^2 * 2.46$ = 224.31%

The above value is reasonable because inverse square potantial is larger for outer radius. and the density of the sun converges to over 1,000 times.

### Radius of planetEdit

Planetary attributes
Name Equatorial
diameter(sq)[a]
Mass(sq)[a] Orbital
Equatorial diameter
(biq,shortest distance)
Mass(biq) Orbital
Orbital period
(years)
Inclination
to Sun's equator
(°)
Orbital
eccentricity
Rotation period
(days)
Axial tilt
(°)
Named
moons
Rings Atmosphere
Sun Sun 109 332900 0 109 8.79M 0 - - - 25(equato)~35(pole) no -
Terrestrials Mercury 0.382 0.06 0.39 0.271 0.565 0.24 3.38 0.206 58.64 ~0.01 no minimal
Venus 0.949 0.82 0.72 0.605 0.826 0.62 3.86 0.007 -243.02 177.4 no CO2, N2
Moon 0.275 1/81 1.00 2.626 18.11 1.00 1.00 ~28 1.5424 1 no
Earth[b] 1.00 1.00 1.00 1.00 1.00 1.00 1.00 7.25 0.017 1.00 23.44 no N2, O2
Mars 0.532 0.11 1.52 0.292 1.287 1.88 5.65 0.093 1.03 25.19 2 no CO2, N2
Gas giants Jupiter 11.209 317.8 5.20 4.508 2.689 11.86 6.09 0.048 0.41 3.13 49 yes H2, He
Saturn 9.449 95.2 9.54 3.176 3.870 29.46 5.51 0.054 0.43 26.73 52 yes H2, He
Uranus 4.007 14.6 19.22 1.077 5.885 84.01 6.48 0.047 -0.72 97.77 27 yes H2, He
Neptune 3.883 17.2 30.06 0.896 7.705 164.8 6.43 0.009 0.67 28.32 13 yes H2, He
a  Measured relative to the Earth.
b  See Earth article for absolute values.
Dwarf planetary attributes
Name Equatorial
diameter[c]
Mass[c] Orbital
Equatorial diameter
(biq,shortest distance)
Mass(biq) Orbital
Orbital period
(years)
Inclination
to ecliptic
(°)
Orbital
eccentricity
Rotation period
(days)
Moons Rings Atmosphere
Ceres 0.08 0.000 2 2.5–3.0 0.038 1.841 4.60 10.59 0.080 0.38 0 no none
Pluto 0.19 0.002 2 29.7–49.3 0.040 9.075 248.09 17.14 0.249 −6.39 3 no temporary
Haumea 0.37×0.16 0.000 7 35.2–51.5 0.012 9.598 285.38 28.19 0.189 0.16 2
Makemake ~0.12 0.000 7 38.5–53.1 0.024 9.919 309.88 28.96 0.159  ? 0  ?  ? [d]
Eris 0.19 0.002 5 37.8–97.6 0.033 12.54 ~557 44.19 0.442 ~0.3 1  ?  ? [d]

c Measured relative to the Earth. d A temporary atmosphere is suspected but has not yet been directly observed by stellar occultation.