This extract is taken from the Andromeda Council Website: 

http://andromedacouncil.com/page05.html  ~01/15/2012 

What about the current status of Tekoma the brown dwarf that will become our second sun?

ANSWER: Mid-January 2012 update to questions about Tekoma. Tekoma the brown dwarf & its accompanying planet, Nihohia, and its own moon, they are all 'tucked' on the back side of Jupiter with its mass assortment of 64 moons. This was an easy place to locate them for the time being. They have been temporarily 'docked' there until the appropriate moment when the combined biospheres of the Andromeda Council {to use a term most people will understand} safely use their 'tractor beams' to move Tekoma, Nihohia & its moon... into their new orbit close to Venus. please see: http://solarsystem.nasa.gov/planets/profile.cfm?Display=Moons&Object=Jupiter .

Read more on the Website:  http://andromedacouncil.com/page05.html

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I did some more research on this and if whether there is any possible proof from our own scientific research and these are what I have found :

1. Nemesis 

From Wikipedia : http://en.wikipedia.org/wiki/Nemesis_(hypothetical_star)

"Nemesis is a hypothetical hard-to-detect red dwarf star,white dwarf sta[dubious – discuss] or brown dwarf,originally postulated in 1984 to be orbiting the Sun at a distance of about 95,000 AU (1.5 light-years),somewhat beyond the Oort cloud, to explain a perceived cycle of mass extinctions in the geological record, which seem to occur more often at intervals of 26 million years. As of 2011, over 1300 brown dwarfs have been identified and none of them are inside the Solar System."

2. Mass Extinction Every ~26 Million years 

From Wikipedia: http://en.wikipedia.org/wiki/Extinction_event

"It has been suggested variously that extinction events occurred periodically, every 26 to 30 million years, or that diversity fluctuates episodically every ~62 million years.Various ideas attempt to explain the supposed pattern, including the presence of a hypothetical companion star to the sun,oscillations in the galactic plane,or passage through the Milky Way's spiral arms."

3. Mayan Prediction -26 million year cycle

Mayan timekeepers records indicate that 2012 marks the close of several large cycles of time: a 26,000 year Mayan Calendar cycle, a 78,000 year Earth cycle, a 26 million year Earth cycle and the 225 million Galactic Year. 

It takes approximately 26 million years to pass through one evenly-spaced zones of energy and it appears that we are now moving into one that is more highly charged. Moving through this accelerated energy is changing our DNA, our consciousness and triggering our metamorphosis. 
 

4: Taken from a Yahoo Answers! response that sums this up nicely:

http://answers.yahoo.com/question/index?qid=20080604072039AAsp2Td

Question: 

Is our solar system really a binary star system?
I've heard that our sun actually has a brown dwarf companion, is this true?

Answer :

Some scientists have hypothesized that there may be a very dim star (probably a brown dwarf) which is an orbital companion of the sun, in an eccentric (long, skinny) orbit that brings it through the solar system's Oort cloud (a distant cloud of comets) every 26 million years.

There's no observational evidence for such a star. It was hypothesized to explain observed extinction events on the earth that occur roughly every 26 million years. The thinking is that, when this star passes through the Oort cloud during its orbit, it knocks a lot of comets loose, which then come hurtling into the inner solar system and occasionally collide with the earth, causing a mass extinction.

The "Nemesis" star, if it exists, would be sufficiently far away that we would not notice its gravitational effects on the orbits of planets.