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Titius-Bode Law: Jupiter
| JUPITER |
| Orbital
characteristics |
| Mean radius |
7.7833*108km |
| Eccentricity |
0.0483 |
| Revolution period |
11y 315d 1.1h |
| Synodic period |
398.9 days |
| Avg. Orbital Speed |
13.1 km/s |
| Inclination |
1.308° |
| Number of satellites |
61 |
| Physical characteristics |
| Equatorial diameter |
142,984 km |
| Surface area |
6.41×1010 km2 |
| Mass |
1.899×1027 kg |
| Mean density |
1.33 g/cm3 |
| Surface gravity |
22.88 m/s2 |
| Rotation period |
9h
55.5m |
| Axial tilt |
3.12° |
| Albedo |
0.52 |
| Escape Speed |
60.2 km/s |
| Surface temp. |
| min |
mean |
max |
| 110K |
152K |
N/A K | |
| Atmospheric characteristics |
| Atmospheric pressure |
70
kPa |
| Hydrogen |
81% |
| Helium |
17% |
| Methane |
0.1% |
| Water vapor |
0.1% |
| Ammonia |
0.02% |
| Ethane |
0.0002% |
| Phosphine |
0.0001% |
| Hydrogen sulfide |
0.0001% | |

The largest planet in the solar
system and the fifth in order from the Sun. After Venus, it is the
second-brightest planet as seen from Earth. Jupiter is a giant ball
of gas, ten times the size of the Earth and one-tenth of the Sun's
diameter. Its mass is 0.1 per cent that of the Sun and its
composition (by number of molecules) is very similar to the Sun's:
90 per cent hydrogen (in its molecular form in Jupiter) and 10 per
cent helium. Of trace gases, the most significant are water vapour,
methane and ammonia. There is no solid surface beneath the cloud
layer. Instead, a gradual transition from gas to liquid takes place
as the pressure increases with depth below the outermost layers,
followed by an abrupt change to a metallic liquid, in which the
atoms are stripped of their electrons. At the very centre there may
be a small core of rock and perhaps ice. A source of internal
energy, heat generated when Jupiter formed by gravitational
collapse, causes the planet to radiate between 1.5 times and twice
as much heat as it absorbs from the Sun. Observed visually, the disc
of Jupiter is seen to be crossed by alternating light zones and dark
belts. Results from four space probes that passed by Jupiter between
1973 and 1981 (Pioneers 10 and 11, Voyagers 1 and 2), and from the
Galileo mission have revealed the full complexity of the flow
patterns within these bands. There are five or six in each
hemisphere, correlating with wind currents. White or coloured ovals
appear as relatively long-lived features. The best-known and most
conspicuous is the Great Red Spot, which has been observed for
around 300 years. The origin of this feature, which is as wide as
the Earth, is uncertain; one popular theory is that it is
essentially a huge anticyclone. The coloured clouds are in the
highest layers of Jupiter in a region with a depth of only 0.1-0.3
per cent of the total radius. The origin of their coloration remains
a mystery, though it seems certain that it must have to do with
trace constituents of the atmosphere, and is evidence of complex
chemistry. Cloud colour correlates with altitude: blue features are
the deepest, followed by brown, then white, with red being the
highest. A probe released by the Galileo spacecraft in 1995
parachuted through Jupiter's upper atmosphere and returned data on
the composition and physical conditions. Ground-based observations
of the entry site indicated that it may have been a relatively
cloud-free spot, explaining why hardly any evidence was found for
the expected three layers of cloud consisting of ammonia crystals at
the highest level, ammonium hydrosulphide in the middle, with water
and ice crystals below. Winds up to 530 km/hour (330 mph) were even
faster than anticipated. The abundance of helium was only about half
that expected. A likely explanation is the concentration of helium
towards the centre of the planet. The probe also discovered an
intense radiation belt. The existence of a faint ring around Jupiter
was first suggested by results from Pioneer 11 in 1974 and confirmed
by direct Voyager images. The main part lies between 1.72 and 1.81
Jupiter radii from the centre of the planet. The nature of the ring
is such that many of the particles must have dimensions measured in
micrometres. A constant source of replenishment is required, which
may be a population of orbiting boulder-sized objects, constantly
bombarded by high-velocity particles. There are sixteen known
natural satellites orbiting Jupiter. They fall into four distinct
groups. The four small inner satellites (Metis, Adrastea, Amalthea
and Thebe) and the four large Galilean satellites (Io, Europa,
Ganymede and Callisto) are in circular orbits in the equatorial
plane. The third group (Leda, Himalia, Lysithea and Elara) are small
satellites in circular orbits, inclined at angles between 25° and
29° to the equatorial plane and at distances between 11 and 12
million kilometres from Jupiter. The outermost group (Ananke, Carme,
Pasiphae and Sinope) are small satellites in retrograde orbits that
are relatively eccentric ellipses, inclined substantially to the
equatorial plane. These orbits all lie between 21 and 24 million
kilometres from Jupiter. The four Galilean satellites and their
movements in orbit are easily visible with a small telescope or
binoculars. Radio emission from Jupiter was discovered in 1955. It
was the first indication of the presence of the strong magnetic
field, which is 4,000 times stronger than the Earth's. The
magnetosphere is consequently 100 times larger. The radio emission
is caused by the spiralling of electrons around the field lines.
Trapped electrons near the planet give rise to synchrotron radiation
at decimetre wavelengths. Decametric radiation, observed only from
certain regions of the planet, is associated with the interaction
between Jupiter's ionosphere and Io, whose orbit lies within a huge
plasma torus: this interaction also creates aurorae. Radiation at
kilometre wavelengths was discovered by the Voyager probes,
originating at high latitudes near the planet and in the plasma
torus.
The original Rasko Jovanovic`s formulation of the "
Titius-Bode Law " is now available. This formulation is that the
mean distance R(k) of the planet from the Sun is :
where k = 1-Mercury, 2- Venus, 3- Earth, 4- Mars, 5-
Planet V, 6- Jupiter, 7- Saturn, 8- Uranus, and 9 -
Pluto; AUN=6= 778.33 * 106 km; M is 1
(Mercury, Venus and Earth), 2 (Mars, Planet V and Jupiter) and 3 (
Saturn, Uranus and Pluto). R(N=6)=6*bin(6) + 6+2
-(1/6)*[1+Ln(1+(1/6))] = 103.8381; N is the number of the
"Titius - Bode Law " version : we assume N=6 in version of the
planet-Jupiter and the mean distance R(k) of the planet(k) from the
Sun is:
Here are the distances of planets calculated from this rule and
compared with real ones:
| Planet |
k |
bin(k) |
T-B rule distance*106
km |
Real distance*106
km |
| Mercury |
1 |
0 |
58.4599 |
57.91 |
| Venus |
2 |
1 |
103.5597 |
108.208 |
| Earth |
3 |
2 |
148.6025 |
149.597 |
| Mars |
4 |
4 |
238.5935 |
227.940 |
| Planet V |
5 |
8 |
418.5185 |
- |
| Jupiter |
6 |
16 |
778.33 |
778.33 |
| Saturn |
7 |
32 |
1497.9257 |
1429.4 |
| Uranus |
8 |
64 |
2937.0968 |
2870.99 |
| Neptune |
9 |
96 |
4376.2653 |
4504.3 |
| Pluto |
9 |
128 |
5815.4231 |
5913.52 |
THE PROBABLE
LOCATION OF THE PLANET X The orbit of Pluto have some
unregularities, what induces some astronomers to belive in the
existence of a 10th planet of the Solar System. In accordance to the
Bode's Law, was working out a calculation for location the probable
position of the supposed 10th planet. R(10)={6*256+ 6+2
-(1/6)[1+(1+Ln(1/11)]}*(778.33/103.8381) *106 km
PLANET X The probable distance of the average orbit:
11572.063 * 106 km.
See, also
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