Progression of planetary distance stands near accurate up to the planet URANUS. In the next step of Bode-Titus rule, the planet Neptune disappears. Therefore, there need some modification/correction in the rule for accurate result. With efforts of more than one year, we have possible to modify the old rule to obtain accurate distances of Neptune and Pluto from the Sun. When we continued this modified rule of Bode-Titus, we have possible to detect the DISTANCES of two new and still unknown planets beyond Pluto. That is to say, if such planets exist, then their DISTANCE from the Sun should be as per the below formula: Up to the planet Uranus, it is possible to obtain accurate DISTANCE by Bode-Titus rule. Onward we have modified the ratio of progression in HALF and observed the accurate result of DISTANCE of Neptune and then Pluto so it is continued for next planets. Now let us start with modified formula from URANUS: 192+4 = 196/10 = 19.6 AU of URANUS. 288+4 = 292/10 = 29.2 AU of NEPTUNE, 384+4 = 388/10 = 38.8 AU of PLUTO and accordingly for next planets, progression is 576+4 = 580/10 = 58 AU of 10th planet. 768+4 = 772/10 = 77.2 AU of 11th planet. One AU (Astron Unit) = 92.89 million miles. This is mean distance of the planet EARTH from the Sun. Accordingly, mean distances of 10th and 11th planets, if they exist should be as below as per modified BTR.

THE 10th PLANET IS AT DISTANCE OF 58.0 x 92.89 = 5387.62 MILLION MILES
THE 11th PLANET IS AT DISTANCE OF 77.2 x 92.89 = 7171.11 MILLION MILES

At these great distances of 10th and 11th planets from the Sun, what should be their DENSITY AND ORBITAL VELOCITY? We have possible to calculate the DENSITY and ORBITAL VELOCITY with accuracy on basis of our Astromathical Formula DVd-Triquilibrium (DVdT), which we have derived and proved its accuracy on basis of actual observation. Here is result:

DENSITY AND ORBITAL VELOCITY OF PLANETS:
As per DVdT, , V = D x k. Description: D=DENSITY of planet (Earth Density=1), d = mean DISTANCE of planet from the Sun in unit of million miles, V = Orbital velocity of planet around the Sun in unit of miles per second, C = constant = 9.638, k = constant = 18.5 (Earth’s velocity in miles per second). Thus, by knowing the DISTANCE of planets from the Sun, DENSITY and VELOCITY can be computed on basis of DVdT. Now let us compute the DENSITY and VELOCITY of 10th and 11th planets on basis of DVdT:

10th PLANET:
d = 5387.62: V = D x 18.5 = 0.131 x 18.5 = 2.423 VELOCITY

11th PLANET:
d = 7171.11: V = D x 18.5 = 0.114 x 18.5 = 2.109 VELOCITY

DIAMETER OF PLANETS:
As per our formula of TRIANGULAR PROGRESSION OF DIAMETER (TPD) of Planets, DIAMETER of 10th Planet is 91588 miles and of 11th planet is 72630 miles. That is to say, the size of these planets resembles JUPITER and SATURN.

PROOF OF EXISTENCE OF 10th PLANET:
ECCENTRICITY OF ORBITAL PATH OF PLANETS (EOP):
EOP of planet Mercury is result of Venus influence; EOP of Mars is result of Jupiter. But highest Eccentricity (0.25) is with PLUTO’S ORBIT and this is only possible by nearby massive unknown planet’s influence. That planet is 10th planet, which is only at distance of 1717 million miles away from the Pluto having higher mass. Therefore, EOP of Pluto proves the existence of 10th planet beyond Pluto in the Solar System at distance of 5387.62 Million Miles from Sun.

PROOF OF EXISTENCE OF 11th PLANET:
THE APHELIA OF COMETS GROUP– 16:
Comets revolve around two centers, at Perihelion, around the Sun and at Aphelion, around distant planet. There is a group of 16 comets, which encircles the Sun at Perihelion but their APHELIA EXTENDED BEYOND 7000 MILLION MILES FROM THE SUN. Therefore, it is 11th PLANET, which controls these 16 comets. This group encircles the 11th PLANET at their Aphelion. Without existence of a giant massive planetary body at this distance, these comets would not reach to that remote space. The existence of OORT CLOUD – the reservoir of a ‘cloud’ of hundreds of comets in orbit around the Sun at the distance of about 105 AU also prove the existence of 10th and 11th Giant Planets beyond Pluto in the Solar System.

THE RECORD OF DETECTION:
In Feb. 1986 at the Science debate of IARC about Pluto’s high eccentricity of orbit and about extremity of Aphelia of some comets, we have derived the concept of existence of 10th and 11th Giant Planets beyond the Planet Pluto. It was recorded in the Record Book, intimated to NASA, USA with data about existence of two new and giant planets and requested for detection under VOYAGER-1 and VOYAGER-2 mission. It was also intimated to ESA, Paris. NASA recorded the DATA for the detection. Receipts of letters are acknowledged and recorded in the year 1986.

Dr. NAVINCHANDRA K. SHAH &
Prof. RAVIRAJ CHITTARANJAN