[3] **viXra:1108.0051 [pdf]**
*replaced on 13 Sep 2011*

**Authors:** Sergey V. Ershkov

**Comments:** 9 pages.

Here is presented a system of equations of 3-bodies problem in well-known
Lagrange's form (describing a relative motions of 3-bodies). Analyzing of such a system,
we obtain an exact solution in special case of constant ratios of relative distances
between the bodies.
Above simplifying assumption reduces all equations of initial system to a proper
similar form, which leads us to a final solution: initial triangle of bodies
m_{1} , m_{2}, m_{3} is
moving as entire construction, simultaneously rotating over the common center of
masses as well as increasing or decreasing of it's size proportionally.

**Category:** Astrophysics

[2] **viXra:1108.0022 [pdf]**
*replaced on 2014-01-19 00:15:40*

**Authors:** Nainan K. Varghese

**Comments:** 8 Pages. Published in General Science Journal

Abstract: ‘Flyby anomaly’ is a significant but unaccounted apparent increase or reduction in linear velocity of a spacecraft during Earth-flybys. This phenomenon could not be explained by current physical laws. This article attempts to show that the noticed discrepancies are apparent and they are produced by faulty geometry used in contemporary laws of planetary motion. In reality, spacecraft and external efforts on it behave normally. There are no causes or actions, which vary spacecraft’s linear velocity during Earth-flybys. There is no basis for assumption of strange ‘forces’ or mysterious effects on or about the spacecraft.

**Category:** Astrophysics

[1] **viXra:1108.0003 [pdf]**
*submitted on 1 Aug 2011*

**Authors:** Eric J. Korpela

**Comments:** 6 pages, 3 figures.

Recent studies have attempted to extrapolate the abundance of life in the universe
and the properties of such life from the history of life on Earth. A common "reasonable"
assumption in such studies is that the history of life on earth is typical of life
in the universe.(1) In this poster we examine the question of whether life on Earth is
likely to be typical of life in the universe. In determining this we must consider that,
as observers, we are biased by having only one example of life: the example that led
to our evolution on a 4.5 billion year old earth. This "anthropic principle," is more
accurately described as an anthropic bias, which alters the relationship between measured
quanities such as evolutionary timescales and the distribution of values these
quantities may have in reality. In some instances this bias can be quantified. We apply
a statistical approach to quantifying this bias in the case of the timescales involved in
abiogenesis and evolution of intelligent species.

**Category:** Astrophysics