SKU: 2419139437

Solving Kepler's Equation

Sale price$27.86 Regular price$30.95
Save 10%

Pay in installments of $7.74 with ShopPay, AfterPay and Klarna

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Aug 14 - Aug 19

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

Description

Solving Kepler's EquationBy Colwell. Product Information: 6. 00" by 9. 00", 202 pages, hardbound, published 1993. The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list

By Colwell.

Product Information: 6.00" by 9.00", 202 pages, hardbound, published 1993.

The sole subject of Solving Kepler's Equation work is Kepler's Equation (KE) M = E - e sin E . In its narrowest form, the Kepler problem is to solve KE for E , given M in the interval [0,p]and e in the interval [0,1]. In virtually every decade from 1650 to the present there have appeared papers devoted to the Kepler problem and its solution. We can see from a list of them that the problem has enticed a wide variety of scientists to comment on or involve themselves in its solution.

It is surely not unique in science for a specific problem to be given so much attention over so long a period—particularly if it resists solution, if its partial solutions are inadequate or unsatisfactory, or if it is recharged with new interpretations and new applications. Still, it is curious that the Kepler problem should have continued to be this interesting to so many for so long. Admittedly it is a problem central to celestial mechanics, but it is a technical little problem for which a number of satisfactory solutions are long known. With the advent of calculators and computers, there is no impediment to achieving quick solutions of great accuracy. The problem has neither the broad appeal of an Olbers Paradox, nor the depth and intractability of a many-body problem.

In common with almost any scientific problem which achieves a certain longevity and whose literature exceeds a certain critical mass, the Kepler problem has acquired an undeniable luster and allure for the modern practitioner. Any new technique for the treatment of transcendental equations should be applied to this illustrious test case; any new insight, however slight, lets its conceiver join an eminent list of contributors.

The Kepler problem has been “on the scene” in Western civilization science for over three centuries. To gather its story is to view this science through a narrow-band filter, and our goal is to make the picture at one wavelength instructive and interesting.

The idea to gather all the work on the Kepler problem is not new. Early work was surveyed in Melander,1767, Detmoldt,1798 and Brinkley,1803, and much of the recent work was described in Danby,1983, Burkhardt,1983 and Gooding,1985. In addition, various partial bibliographies have appeared which contain extensive references to the Kepler problem. Perhaps the most cited has been Radau,1900; others are Struve,1860, Houzeau,1882, Herglotz,1910, and Wood,1950.

Our concern will be almost exclusively for the elliptic case of Kepler's problem. What coverage we attempt of the hyperbolic case will appear in Chapter 8 when we look at universal forms of KE, and the parabolic case, e = 1, will be considered in Chapter 5, where treatments for high eccentricity (e near 1) cases are gathered. Related to KE and the Kepler problem is the subject of Lambert's theorem and the Lambert orbital problem. Except for a few bibliography entries, we won't describe this area at all, even though it has an extensive literature and independent interest. The references [Gooding,1988,1990] are to be recommended for a look at the subject.

In the language of the mathematician, there exists a unique solution of the Kepler problem, but there are many methods to describe or approximate it. It isn't feasible to say how many there are: the meaning of ""solution"" depends too much on the solver's motivations. In our classification of references bearing on KE which appear in the Bibliography, we have made seven primary categories and five secondary categories of methods of solution. These have been adequate to describe almost all our references.

Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 2419139437

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.4 ★★★★★
Based on 30 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
S
Verified Purchase
SELENA WOOTEN
San Leandro, US
★★★★★ 5
Awesome
Size: Small, Color: Black
My daughter-in-law loves this she's from Sweden and she loves the way it feels and fits
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 25, 2025
S
Stacie L
Natrona Heights, US
★★★★★ 5
I'm so happy with this bralette.
I'm so happy with this bralette. The matcha green color is beautiful and the ribbed material is incredibly soft and comfortable. The openback design is a nice touch and looks great under tops. The medium fits me perfectly and provides just the right amount of support for everyday wear. It’s a great combination of style and comfort
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on August 1, 2025
G
Verified Purchase
GABO Fitness
Birmingham, US
★★★★★ 1
Loved the cotton, but poor quality
Size: X-Small, Color: Black, Size: X-Small, Color: Black
I just wore this and was super excited to finally find something in cotton, but it’s falling apart (see picture). I only wore it once (today), and when I took it out of the washer to hang dry, I noticed the back elastic was ripping apart.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 12, 2026
J
Verified Purchase
John Mace
Houston, US
★★★★★ 5
3 pack to stay cool
Color: 3-pack(blue,light Red,nude), Size: X-Large-XX-Large
Unbelievably Soft and My New Wardrobe Staple! I was on the hunt for some comfortable, basic camisoles to get me through the seasons here in Billings, and I'm so glad I found this 3-pack from BAMBOO COOL. They have completely exceeded all my expectations and have quickly become the most-worn items in my closet. The moment I took them out of the package, I was amazed by the fabric. It is buttery soft with a cool-to-the-touch feeling that is just incredible against the skin. On our warmer Montana days, this material is a lifesaver—it's so breathable and lightweight that you barely feel like you're wearing it. Unlike some cotton tanks that can feel heavy or trap heat, these keep me comfortable and cool all day long. The fit is absolutely perfect. They have a wonderful amount of stretch, so they are form-fitting without being tight or restrictive, and they lay smoothly under other shirts without bunching up. The length is great, and the straps stay comfortably in place. I've worn them as a base layer under a cardigan for a chilly evening, on their own on a sunny afternoon, and even just for lounging around the house because they're so comfortable. Getting three high-quality tops in one pack is such a fantastic value. They've already been through the wash a few times and have held up beautifully, staying just as soft and vibrant as when they were new. I'm genuinely thrilled with this purchase. If you're looking for the most comfortable, versatile camisoles you'll ever own, look no further. These are a 10/10, five-star must-have!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on October 11, 2025
C
Verified Purchase
Cella
Pawtucket, US
★★★★★ 5
The Perfect Bamboo Camisoles: Cooling, Warming, and Oh-So Comfortable!
Color: 3-pack(brown,light Brwon,white), Size: X-Small-Small
I’m absolutely in love with these bamboo moisture-wicking camisoles. They’re everything I could want in a wardrobe staple—versatile, breathable, and incredibly soft. Whether I’m layering them or wearing them solo, they keep me comfortable no matter the season. Fabric & Feel: The bamboo fabric is amazing. It’s smooth and feels great against my skin, with none of that clingy or scratchy feeling I’ve had with other bamboo camisoles. The material is both lightweight and substantial, striking a balance between coolness and warmth depending on the weather. It’s like these tanks adapt to my body’s needs! Moisture-Wicking & Breathability: The moisture-wicking properties are a game-changer. Whether I’m wearing them under sweaters in the winter or on hot summer days, they keep me dry and fresh all day long. I’ve even worn them during workouts, and they stay breathable and comfortable, even when I’m breaking a sweat. Fit & Versatility: The fit is flawless—snug but not tight, although they are more crop designed, and it flatters my body without riding up or bunching. They work perfectly as a layering piece under blouses, sweaters, or blazers, but they also look great on their own for lounging or casual outings. Temperature Regulation: One of my favorite features is how these tanks manage to keep me cool in the summer and warm in the winter. The bamboo fabric is naturally temperature-regulating, so I’m always comfortable no matter the season. It’s truly a year-round essential. Durability & Care: After several washes, these look and feel as good as new. They don’t shrink, fade, or lose their shape. Plus, they’re easy to care for—I just toss them in the washer on a gentle cycle and they’re ready to go. Final Thoughts: These bamboo camis are a must-have for anyone looking for comfort, versatility, and quality. They’re perfect for layering, lounging, or even working out. I’ve already stocked up in multiple colors because they’ve become an essential part of my wardrobe. 10/10—highly recommend for anyone who values comfort and style!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on December 18, 2024

recommand products