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Real-life sci-fi worlds #1: the eccentric Earth

Welcome to Real-life Sci-fi worlds.  We are using science to explore life-bearing worlds that are good settings for science fiction.


Let’s take the Earth and change just one small characteristic: the shape of its orbit.

Setting.

Earth’s orbit is nearly a perfect circle.  Earth is always the same distance from the Sun (to within a few percent).  So Earth receives the same amount of energy from the Sun throughout the year.  [It’s the tilt of Earth’s spin axis — not changes in the Earth-Sun distance — that causes the seasons, of course.]

Many of the known extra-solar planets have orbits that are pretty elliptical (we talked about this in a previous post). The average “eccentricity” is about 25% or 0.25.  An eccentricity of zero means a perfect circle and 1 is infinitely stretched out.  The higher the eccentricity, the farther the Sun is from the center of the ellipse.

Orbits with the same average distance ("semimajor axis") but different eccentricities e.  The higher the eccentricity, the more stretched out the orbit.  Credit: NASA Earth Observatory.  http://earthobservatory.nasa.gov/Features/OrbitsCatalog/page1.php.
Orbits with the same average distance but different eccentricities e. The higher the eccentricity, the more stretched out the orbit. Credit: NASA Earth Observatory.

The more eccentric an orbit is, the closer it passes to the star at its closest approach.  At the same time, the planet passes by this closest approach very fast.  The planet spends most of its time far away from the star.  The total amount of energy received by the planet is higher for eccentric orbits, but only by a very small amount unless the orbit is extremely elliptical (with e larger than about 0.5-0.75.

Motion of a planet on an elliptical orbit.  From Wikipedia Commons.
Motion of a planet on an elliptical orbit. Rp and Ra are the planet’s closest and farther approaches from the star.  From Wikipedia Commons.  [FYI, this website has a nice interactive orbit simulator.]
On a planet with a stretched-out eccentric orbit, everything is more extreme than on a circular orbit.  The hot is hotter and the cold is colder.

For a very eccentric orbit, the planet is basically branded during its very short closest approach to the star.  The planet then spends the rest of its orbit — especially the long cold winter far from the star — cooling off.  Like running from the hot tub into the snow and then back (although if you’re like me, you spend a lot more time in the tub than in the snow, but planets in orbit do the opposite!).

Habitats

An eccentric Earth is not uniformly heated.  There are much larger temperature swings than on Earth.  Still, the entire globe of an eccentric Earth with the same average orbital distance as Earth is habitable.  What matters is the total energy received over an orbit, not the instantaneous heat from the star.

There is a particularly interesting place on an eccentric Earth.  It is the location where the star appears directly overhead during the planet’s closest passage to the star.  This is where the planet is branded.  This location receives a short burst of heat that is stronger than anywhere else on the planet.  [In reality, it is of course spread over some area.]  Let’s call it the branding spot.  But the planets were are talking about are spinning and they spend many days near closest approach.  So the branding “spot” is really a ring at constant latitude.  Imagine the tropics but shifted up or down to any latitude.

Is it good or bad to be sitting on the branding spot?  Well, it depends.  For a planet with the same average orbital distance as Earth, there is a danger from overheating.  If the orbit is eccentric enough then the branding spot gets fried.  Not the place you want to be!

But if the planet is much colder then it could be nice to be near the branding spot.  To be close to the once-a-year burst of heat in an otherwise icy world.  This image shows a pretty cool example taken from a real climate model.

    Temperature map of a hypothetical planet over a full year. White means frozen and other colors indicate habitable temperatures. The planet is a desert world with an eccentric orbit. The only place that is heated enough to melt the ice is at the South pole once per year. Taken from this scientific paper.
Temperature map of the climate of eccentric Earth over a full year.  The temperature at a given latitude on the planet can be read by the change in color along the horizontal line at that latitude.  White means frozen and other colors indicate habitable temperatures. The planet is a desert world with an eccentric orbit. The only place that is heated enough to melt the ice is at the South pole once per year. Taken from this scientific paper by Courtney Dressing and collaborators (including me!).

The branding spot of this planet is at the South pole (it’s actually a spot, not a ring, since it’s located at the pole).  The entire planet is covered in ice.  But once per year the South pole is heated sufficiently that it melts and produces conditions friendly to life.  This only lasts for about a month before freezing over, but it is the only time on the entire planet that it happens.

Context

The typical giant extra-solar planet has an eccentricity of about 0.2-0.3.  Unfortunately, it’s very hard to measure the orbital shape for small planets.  There is some evidence that smaller planets tend to have less eccentric orbits, but it’s pretty tentative.  Simulations also show that small planets probably have more circular orbits than giant planets.  But those same simulations also show that some Earth-sized planets should actually have very elliptical orbits.  So even though eccentric Earths are likely to be less common than eccentric Jupiters, they should still exist. In fact, it is planet-planet scattering among Jupiters that probably stretches out the orbits of the Earths anyway!

Some ballpark figures.  About 10% of stars have a giant planet like Jupiter.  80% of those underwent planet-planet scattering.  Earth-like planets survive half of the time.  10% of these have orbits with eccentricities larger than 0.2.  That makes a few eccentric Earths per thousand stars.  There are more than 1000 stars within 50 light years of the Sun.  So there are likely to be a few eccentric Earths close by.  I wouldn’t be surprised if an eccentric Earth turns up in the coming years (or is already lurking among the known planets).

Story

What kind of story could take place on an eccentric Earth?  What is different about an eccentric Earth is how the climate changes in such an extreme way during the year.  And the most interesting location is the branding “spot” or ring.

Here are two ideas for story lines.

Story 1 takes place on the icy world shown in the climate simulation above.  The planet completely covered in ice except for one month a year at the South Pole.  It is freezing and pretty Hoth-like.  A cold cold place.

There is a network of tribes that survive on the icy world.  Given the harsh conditions the population density is low.

Each tribe is adapted to its local ecosystem.  Some tribes specialize in fishing through holes in ice-covered lakes.  Others follow and hunt the animal populations.  Still others subsist on small amounts of greenery that manage to survive in localized settings.

Every year many of the tribes migrate to the South Pole to enjoy the month-long burst of warmth.  This month is accompanied by a massive burst in biological production, with new vegetation and insects feeding animals.  Those animals are hunted by the tribes.  It is feast time!

But during this month the population density goes from very low to very high.  There are skirmishes between rival tribes and the occasional battle.  This is also the time for inter-breeding between the tribes.  This is of vital importance to maintain genetic diversity in each isolated tribe.  The tribes have an agreement about how things go during

I don’t want to make this post too long so I’ll lay out a few more specific ideas:

  • Star-crossed lovers from different tribes do a Romeo-and-Juliet impression.
  • A giant man-eating beast hibernates all year long at the South Pole except for the month during which his prey flocks to him.
  • A tribe discovers an alternate source of heat.  It starts to create its own warm spot on the planet, triggering massive changes in the planet’s climate and a battle for control of the planet….

Story 2 takes place on a hot eccentric Earth.  The climate is Earth-like when the planet is far from the star but dangerously hot during close approach.  The branding spot is deadly hot.  It is a ring located at about 70 degrees North (a little North of the Arctic circle on Earth).  Along the branding ring the temperature gets up to 100 degrees Celsius (the boiling point of water; 212 degrees Fahrenheit).  This only lasts a couple of weeks during summer (it’s shorter than in the icy world described above because the planet’s orbit is closer to its star).

The planet is covered with life.  But the Northern-most part of the planet is abandoned during the summer.  The population flees to the South to avoid the heat.

The story follows a small band of over-ambitious hunters caught too far North.  Summer  approached too quickly and they were trapped North of the branding line.  Their only hope: to go North.  Since the maximum heat is right at 70 degrees latitude, they hope to get to the Pole where it is (a little bit) cooler.  It’s a story of survival (or not) in extreme and changing conditions.  All sorts of cool things to imagine….


 

There you have it, the first real-life sci-fi world: eccentric Earths.  Are there any science fiction stories set on eccentric Earths?

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35 Comments

  1. No doubt the exact timing of events wouldn’t fit climactic reality but here is what I recall from the LOST IN SPACE episode. The Robinsons landed on an eccentric earth during its long cold spell and went exploring in the JUPITER II’s land vehicle. Dr. Smith and the Robot stayed behind in the JUPITER II. The LEV crossed a frozen sea to another continent. The temperature warmed as they were on that continent, enough so the Robinsons enjoyed some beautiful weather. That’s when they realized they were on an earth with an eccentric orbit and that briefly, where they were would get fried. They lay down on the ground under reflective space blankets (in real life, newly invented by NASA as I recall); in short order, the bushes were catching on fire all around them. After the very brief hot spell, they took water and returned. They crossed the same sea on their return, but then it was melted and stormy. They returned to the JUPITER II before it cooled too much and Dr. Smith and the Robot received them home.

    I wrote a so-far-unpublished story based on speculations about a real-life eccentric gas giant and its hypothetical earthlike moon: 16 Cygni Bb III, I called the earthlike world, trying to use the nomenclature as well as I know how. (Locally it was called Beebee Three or usually just Three, by the humans who mined underground on that planet.)

  2. One more thing: I learned about the gas giant thanks to this production by NATIONAL GEOGRAPHIC. I then looked up more information on (where else?) WIKIPEDIA, concerning the 16 Cygni system. In my writing I sought to add one element not mentioned in the video: the effects of tidal flexing. If the Galilean moons, or at least three of them, are significantly affected by this (and especially Io), why not Beebee III?

    https://www.youtube.com/watch?v=MRLnOpTe2DY

  3. How about a Game of Thrones climate with winters of varying lengths (multiple “years” in the books) but some winters are a few years and other winters are many years long?

    1. I have thought some of the workings of this fictitious world. The problem is we know so little of this fictitious planet’s geography. We don’t even know how many degrees of latitude Westeros covers. This map suggests that Dorne is centred on about the same latitude as Cyprus:
      https://www.businessinsider.com/game-of-thrones-map-compared-to-earth-2015-6?r=US&IR=T
      Another suggests Dorne to be about the latitude of Haiti:
      https://imgur.com/a/JNWIy
      This is a difference of at approximately 15 degrees of latitude. Still, Dan Lunt (the real-world author of the liked study) has showed that having one hemisphere pointing away from the sun for years at a time is a viable solution. George Martin has said that the changes between “summer” and “winter” phases are caused by magic. Let’s say that one of the hemispheres is magically made to constantly point away from the sun. This would lead to a years-long drop in average temperature in one hemisphere and a rise in the other one. Also, the drop and rise would be larger the further from the equator you get. There are smaller, yearly temperature changes within these phases. Sensibly, these could be due to shifting distances to the sun. This would make the passing of the years noticeable all over the planet.
      I can imagine that the growing season is doubled during the “summer” phase in many areas. It is stated that the Reach can barely feed its own population during the “winter” phase. During the “summer” phase it becomes a great exporter of food. I areas colder than that agriculture is likely not worth the effort in “winter” phase. Some fast-growing and/or frost-resistant vegetables might survive, like the crops grown at the highest altitudes in the Andeans. Fresh food could also be provided by foraging. But people in general mostly rely on stored food from the “summer” phase. Theoretically, dried foodstuffs could be stored for years. However, actually keeping it dry would not be so easy considering the current level of technology. Animal fats also tend to go rancid if stored for too long. Combined with the unpredictable length of the different phases this means a considerable number of people starve to death. The nobility has been largely saved from that fate at least during the last few centuries. This is only because they can afford enough glass for greenhouses (“glass gardens”). If managed properly these greenhouses can feed their owner’s family and live-in employees.
      During the “summer” phase childhood mortality would temporarily decrease. Yet the number of deaths from starvation during the “winter” phase would slow down the per century population growth. Together with everyone worrying about surviving the next “winter” phase this can explain the slowness of technological progress. I don’t think this fictitious world has been stuck in medieval stasis for millennia. But it is clear that technological progress is considerably slower than in the real world.

      1. It is now official that “A Song of Ice and Fire” does not have static society or technology. It might seem like that at first. But this is due to in-universe authors in the last few centuries ascribing their own cultural practices to people living millennia ago. The current Medieval-like era has lasted for about 800 years. Before this there was an Iron Age which was in turn preceded by a Bronze Age. It is even suspected the Bronze and Iron Ages may have been half to a third as long as commonly thought. If so, technological progress is about half as fast as in reality. Which makes sense considering the recurrent famines.

  4. Good question Brent! Weird Milankovitch cycles have been suggested as a possible source of the uneven winters in Game of Thrones — see here: http://io9.com/5906300/5-scientific-explanations-for-game-of-thrones-messed-up-seasons. But there are lots of other explanations: http://www.howtogeek.com/187541/climate-and-astronomy-in-game-of-thrones/. There was actually a modestly-serious scientific paper showing that a planet on a certain type of orbit around a binary star system can produce unpredictable winters: http://adsabs.harvard.edu/abs/2013arXiv1304.0445K .

  5. Then there is the set up in _Fire Time_ by Poul Anderson.

    A red giant & a sun like star are in eccentric orbit about one another with a period of roughly 1000 years. The sun like star has a habitable planet that gets enough extra heat when the red giant is closest to disrupt the weather but not to fry the planet. When the red giant is closest it is in near the north celestial pole of the habitable planet, so the northern hemisphere gets the worst of the unpleasantly hot weather.

      1. I will mention another planet in a Poul Anderson story. The planet Vixen in “Hunters of the Sky Cave”. It has an eccentric orbit and northern hemisphere summer occurs near periastron. So the Northern hemisphere gets lethally hot. Humans settled the southern hemisphere centuries before the time of the story. It gets mentioned in another Anderson story set between the time of initial settlement and the time of “Hunters of the Sky Cave”. There is also a part of the story set in a nebula where a planetary system is forming close (by astronomical standards) to Vixen. For story purposes an FTL drive is assumed to get between stars in a reasonable time.

  6. Alan Dean Foster’s Icerigger trilogy is set on Tran-Ky-Ky, which has an eccentric orbit that results in alternate freezing and warming cycles.

  7. I love the article and your story ideas! What would be the precise orbital measurements and degrees of eccentricity for each of the hypothetical worlds? How close would the cold Earth be to the sun to get its South Pole heated? How close and how distant would the hot Earth be at its farthest and closest (branding time!) points?

    1. The cold Earth’s orbit is actually not that extreme. At its closest approach to its Sun it’s at 1.004 au, almost exactly the Earth-Sun distance, and at its farthest point from the Sun it’s at about Mars’ orbit, at 1.506 AU (it only has an eccentricity of 20%). For the hot Earth I don’t have a specific orbit in mind, but you can imagine one that where the closest approach is around Venus’ orbit and the farthest approach a little past Earth’s.

  8. I like the Cold Earth storylines best, especially the star crossed lovers one.

    I suppose Earth is not versatile enough for the ecosystem to endure a wildly eccentric orbit e.g. 90% However, could a hypothetical world with a different atmospheric composition, more greenhouse gases and lower surface albedo maintain some sort of intelligent life if it did have such an eccentric orbit? You know how in the early solar system the frost line was only about mid-way through the asteroid belt at around 2.7 AU? In order to start off a water cycle, would a new planet with an eccentric orbit have to get as much solar energy on average as a planet constantly at 2.7 AU or closer, or would just being within the frostline for part of its orbit be enough to start a water cycle if it had enough greenhouse gases in its atmosphere to insulate it for the rest of its orbit?

    1. Glad you like the star-crossed lovers storyline!

      To your question. First, I have no idea what would happen to the biosphere if Earth suddenly switched its orbit to have an eccentricity of 90%. Since that would create an environment that is so much wilder than for our near-circular orbit, I’m sure it would not be great for life. But what if Earth’s original orbit had a large eccentricity? Maybe resilience to huge seasonal temperature swings would have been an evolutionary advantage, and the biosphere would just be different.

      For the part of your question about the water cycle, I think there is a misconception. The “snow line” while the planets were forming was indeed out somewhere past Earth’s orbit (see here for a discussion of the origin of Earth’s water: https://planetplanet.net/2022/09/13/water-delivery-and-the-origin-of-life-on-earth/). But, as long as Earth formed with water, there is no need to replicate the conditions from past the snow line — those conditions are fundamentally different anyway, because the planet-forming disk had such a low pressure that water could only freeze at a much lower temperature than on Earth today.

  9. I like the man-eating monster story idea as well, but it would work best in service of another story. The star crossed lovers have the most scope for extensive storytelling. The arranged interbreeding could be one layer of conflict (if the pair who are in love are forced to interbreed with strangers they don’t love). The man-eating beast could easily serve as an antagonist at some point.

    I had a sci-fi idea for a fictitious world in the solar system with a very eccentric orbit – at 1 AU at its closest point and 10 AU at its furthest point. This would have to be a different ecosystem to Earth. I was thinking of a universal desert with a lot of greenhouse gases in the upper atmosphere. One thing though, I had calculated its orbit to take six Earth years, but my calculations were pretty rule of thumb. I had the idea that during the more distant part of its orbit, it would not cool quickly enough for the atmosphere to start condensing.

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