Eccentricity
Eccentricity measures how elliptical Earth’s orbit is. A value of 0 would be a perfect circle; higher values mean a more elongated ellipse. Earth’s current eccentricity is 0.01671022 - a nearly circular orbit.
What Eccentricity Means in Practice
The eccentricity value (0.01671022) represents the offset distance between the center of Earth’s orbit and the Sun, expressed as a fraction of the orbital radius (1 AU).
| Measurement | Value |
|---|---|
| 1 AU (mean Earth-Sun distance) | 149,597,870.7 km |
| Eccentricity (J2000) | 0.01671022 |
| Offset distance | 2,499,813 km |
| Perihelion distance | ~147.1 million km |
| Aphelion distance | ~152.1 million km |
| Difference | ~5 million km |
This means:
- At perihelion (closest, ~January 3): Earth is ~147.1 million km from the Sun
- At aphelion (farthest, ~July 4): Earth is ~152.1 million km from the Sun
- Earth receives about 7% more solar energy at perihelion than at aphelion
The 20,868-Year Cycle
In the Holistic Universe Model, eccentricity changes in a predictable 20,868-year cycle - not the ~100,000 and ~400,000-year cycles proposed by Milankovitch theory.
The Mechanism
Two motions work in opposite directions:
| Motion | Direction | Period |
|---|---|---|
| Earth around EARTH-WOBBLE-CENTER | Clockwise | ~25,684 years |
| PERIHELION-OF-EARTH around Sun | Counter-clockwise | ~111,296 years |
Because they move in opposite directions, they meet more frequently than either cycle alone:
Meeting frequency = 1/25,684 + 1/111,296 = 1/20,868
Therefore: They meet every 20,868 yearsThis is the perihelion precession cycle.
Why Alignment Affects Eccentricity
The PERIHELION-OF-EARTH defines where Earth’s closest approach to the Sun occurs. Earth orbits the EARTH-WOBBLE-CENTER at a small radius (~214,000 km).
When Earth and PERIHELION-OF-EARTH are on the same side of EARTH-WOBBLE-CENTER:
- Their distances add together
- Maximum eccentricity (~0.0167)
When Earth and PERIHELION-OF-EARTH are on opposite sides:
- Their distances partially cancel
- Minimum eccentricity (~0.0139)
Eccentricity Values
| Parameter | Value | Notes |
|---|---|---|
| Current eccentricity (J2000) | 0.01671022 | Measured, NASA Planetary Fact Sheet |
| Mean eccentricity | 0.015313 | Model-derived center of oscillation |
| Maximum eccentricity | ~0.0167 | At winter solstice alignment |
| Minimum eccentricity | ~0.0139 | At summer solstice alignment |
| Variation amplitude | ±0.00143 | Half the range |
| Cycle period | 20,868 years | 333,888 ÷ 16 |
How Mean Eccentricity Was Derived
The mean value (0.015313) cannot be measured directly - we only have observations from recent centuries. It was derived using three constraints:
- Minimum eccentricity occurred in ~9188 BC when perihelion aligned with the June solstice
- Maximum eccentricity occurred in 1246 AD when perihelion aligned with the December solstice
- Current eccentricity (0.01671022) is between max and mean, and decreasing
The 3D Simulation was calibrated to satisfy all three constraints, yielding:
- Mean = 0.015313 AU
- Amplitude = ±0.00143 AU
The Solstice Connection
Eccentricity extremes correlate with solstice alignments:
| Alignment | Eccentricity | Last Occurrence | Next Occurrence |
|---|---|---|---|
| Perihelion at December solstice | Maximum (~0.0167) | 1246 AD | ~22,114 AD |
| Perihelion at June solstice | Minimum (~0.0139) | ~9188 BC | ~11,680 AD |
Why this correlation?
When perihelion aligns with the December solstice (Northern Hemisphere winter), Earth and PERIHELION-OF-EARTH are positioned such that their orbital offsets add together. When aligned with the June solstice, they partially cancel.
Current Status
We passed maximum eccentricity around 1246 AD. The current value (0.01671022) is:
- Decreasing toward the mean
- Will reach minimum (~0.0139) around 11,680 AD
- Will return to maximum around 22,114 AD
Why Not Milankovitch’s 100k/400k Cycles?
The conventional Milankovitch theory proposes eccentricity cycles of ~100,000 and ~400,000 years. The model proposes a simpler 20,868-year cycle instead. Here’s why:
Five Problems with the Conventional Theory
| Problem | Explanation |
|---|---|
| 1. No actual ~100k cycle | Milankovitch calculated ~95k and ~125k cycles, not ~100k. The “~100k” is a simplification that doesn’t match his actual work. |
| 2. No ~400k pattern in data | Geological temperature records over the past 1.2 million years show no ~400k periodicity. This is called the “100,000-year problem.” |
| 3. Insufficient energy effect | Eccentricity changes affect total annual insolation by only ~0.2%. This is too small to explain observed ice age cycles. |
| 4. Theoretical, not measured | The ~95k, ~125k, and ~400k cycles are calculated from Jupiter-Saturn gravitational resonance models, not measured from data. |
| 5. Missing inclination precession | Milankovitch did not know about inclination precession (~67k years vs ecliptic, ~111k vs ICRF). Without this, Jupiter-Saturn resonance calculations are incomplete. |
The ~100k Pattern in Ice Cores
Ice core data does show a roughly ~100,000-year pattern in glacial cycles. The model proposes this actually reflects the inclination precession cycle (~111,296 years), not eccentricity:
~100,000 years in ice cores ≈ 111,296 years (inclination precession)The ~10% discrepancy may be due to dating uncertainties in ice core chronology.
Comparison with Standard Formulas
The model matches the current observed eccentricity, but doesn’t match the theorized values:
Long-term predictions differ because:
- The model uses a 20,868-year cycle
- Standard theory uses ~100k/400k cycles
- Direct measurements only exist for recent centuries
Important: Both the model’s predictions and standard Milankovitch predictions for ancient/future eccentricity are theoretical. Neither can be directly verified for times before ~1500 AD.
Climate Implications
Eccentricity affects Earth’s climate through two mechanisms:
1. Total Annual Energy
Higher eccentricity means Earth spends more time farther from the Sun (moving slower at aphelion). This slightly reduces total annual solar energy received.
| Eccentricity | Effect on Annual Insolation |
|---|---|
| Maximum (0.0167) | ~0.2% less than circular |
| Minimum (0.0139) | ~0.1% less than circular |
| Difference | ~0.1% |
This effect is small - too small alone to cause ice ages.
2. Seasonal Contrast
The more important effect is when perihelion occurs relative to seasons:
| Perihelion Timing | Northern Hemisphere Effect |
|---|---|
| January (current) | Milder winters, cooler summers |
| July (~11,680 AD) | Hotter summers, colder winters |
When perihelion occurs during Northern Hemisphere winter (as now), winters are slightly milder. When it occurs during summer, seasonal contrasts increase.
Summary
| Aspect | Value |
|---|---|
| Current eccentricity | 0.01671022 (decreasing) |
| Cycle period | 20,868 years |
| Range | 0.0139 to 0.0167 |
| Maximum alignment | Perihelion at December solstice |
| Minimum alignment | Perihelion at June solstice |
| Last maximum | 1246 AD |
| Next minimum | ~11,680 AD |
Calculate Eccentricity at Any Year
To calculate eccentricity values for any year, see the Formulas page which provides the complete Excel formula.
Key Takeaways
- Eccentricity = orbital elongation - Currently 0.0167, meaning ~5 million km difference between perihelion and aphelion
- 20,868-year cycle - From the meeting frequency of two counter-rotating motions
- Maximum at winter solstice alignment - When Earth and PERIHELION-OF-EARTH offsets add together
- Minimum at summer solstice alignment - When offsets partially cancel
- Currently decreasing - We passed maximum around 1246 AD
- Simpler than Milankovitch - One cycle (20,868 years) instead of multiple overlapping cycles (100k/400k)
Continue to Days & Years to learn how these cycles affect the length of our days and years.