How Big Is the North Star Compared to the Sun?

The North Star, or Polaris, has long been a navigational anchor, providing a stable point in the northern sky. While the Sun provides the warmth and light that sustain life, Polaris is a vastly different cosmic entity, far exceeding our star in almost every physical characteristic. Comparing the size difference between the Sun and Polaris reveals a fundamental contrast in stellar evolution and physical scale. This comparison explores the differences in mass, luminosity, and ultimate fate, highlighting the immense diversity found within our galaxy.

Identity and Classification of Polaris and the Sun

The Sun is classified as a G-type main-sequence star, often called a Yellow Dwarf. It is a single star system, currently in the most stable phase of its life, steadily fusing hydrogen into helium in its core. This places the Sun firmly on the “main sequence,” representing stars that are actively burning hydrogen.

Polaris is a far more complex and evolved star system, visible to the naked eye as a single point of light. The main star, Polaris A, is a bright giant or supergiant that has evolved past the main sequence. It is also a classical Cepheid variable, meaning its outer layers regularly expand and contract, causing its brightness to pulsate over a nearly four-day cycle. Polaris is a multiple-star system, with Polaris A having at least two companion stars, Polaris Ab and Polaris B.

Direct Measurement: Comparing Radii and Volume

The physical size difference between the Sun and Polaris A, the primary star, is enormous. The Sun has a radius of approximately 695,700 kilometers, which astronomers define as one solar radius (\(R_{\odot}\)). Polaris A is estimated to have a radius between 37 and 46 times that of the Sun, or \(37 R_{\odot}\) to \(46 R_{\odot}\). If the Sun were placed at the center of Polaris, the North Star’s surface would extend well past the orbit of Mercury, and possibly even Venus.

Polaris A’s diameter is estimated to be over 45 million kilometers, compared to the Sun’s diameter of about 1.4 million kilometers. The volume disparity is staggering, as volume increases by the cube of the radius. Polaris A is so vast that it could contain tens of thousands of Suns within its boundaries. This physical expansion is a direct consequence of Polaris A having evolved off the main sequence.

Beyond Size: Differences in Mass and Brightness

The difference in size between the two stars is strongly related to their mass. Polaris A is significantly more massive than the Sun, estimated to be around 5 to 6 times the mass of the Sun (\(M_{\odot}\)). This greater initial mass is the primary factor that drove Polaris A to evolve off the main sequence and expand into a giant star much more quickly.

Polaris A’s true energy output, or luminosity, is dramatically higher than the Sun’s. Despite its immense distance of over 430 light-years, Polaris appears bright because it is intrinsically thousands of times more luminous than our star. Estimates place Polaris A’s luminosity at around 2,500 to 2,600 times that of the Sun. The massive difference in brightness comes primarily from its vastly larger surface area, allowing it to radiate immense amounts of energy. The surface temperature of Polaris A (6,000 to 6,150 Kelvin) is only slightly hotter than the Sun’s (about 5,778 Kelvin).

Stellar Life Stages and Future Evolution

The fundamental reason for the size difference lies in the different stages of stellar evolution. The Sun is in the main-sequence phase, the longest and most stable period of a star’s life, powered by hydrogen fusion in its core. The Sun is about halfway through its expected main-sequence lifespan of roughly 10 billion years.

Polaris A consumed its core hydrogen much faster due to its higher initial mass and has already moved into a post-main-sequence phase. It is now a supergiant, undergoing core helium burning or a similar advanced stage, which caused its outer layers to swell dramatically.

The future trajectories of these two stars are determined by their mass. In approximately five billion years, the Sun will exhaust its core hydrogen, expand into a Red Giant, and eventually become a dense White Dwarf. Polaris A may eventually end its life by collapsing into a very dense neutron star or fading into a massive White Dwarf, depending on its final mass.