#rotation

Where each S&P 500 sector sits on the rotation map versus the market, computed live from Yahoo Finance (no key, nothing stored). The Relative Rotation Graph is how professional allocators visualise sector rotation: it plots each sector on two axes — relative strength (is it out- or under-performing the S&P 500) and relative momentum (is that relative strength improving or fading) — and the combination lands each sector in one of four quadrants that rotate clockwise over time: Leading (strong and getting stronger), Weakening (strong but losing steam), Lagging (weak and getting weaker) and Improving (weak but turning up). Money rotates Improving to Leading to Weakening to Lagging, so the quadrant tells you not just who is winning but who is next. This computes each of the eleven SPDR sectors' RS-Ratio and RS-Momentum against the S&P 500 and places it in its quadrant. The rrg endpoint returns the whole rotation map; the sector endpoint returns one sector's coordinates and quadrant; the sectors endpoint lists what is covered. The sector-rotation RRG / quadrant cut — distinct from the relative-strength ranking (a one-dimensional list), the sector price/performance feed and the correlation APIs. It shows the rotation, not just the ranking.

api.oanor.com/rrg-api

Which markets are beating the benchmark and which are lagging, ranked, computed live from Yahoo Finance (no key, nothing stored). Relative strength is the engine of rotation: money flows toward what is outperforming, and the leaders of one quarter often lead the next. For a cross-asset, cross-sector universe — the eleven S&P 500 sectors plus small caps, international and emerging equities, gold, oil, commodities, bonds and crypto — this measures each asset's return MINUS the S&P 500's over one, three and six months, blends them into a relative-strength score, and ranks the whole board into leaders and laggards. A positive score means the asset is beating the market; a negative one means it is lagging. The ranking endpoint returns that ranked board with the benchmark's own return and the standout leaders and laggards. The asset endpoint returns one market's relative strength across each window, its beta to the S&P 500 and whether its relative strength is improving or fading. The universe endpoint lists what is covered. The relative-strength / market-leadership rotation cut — distinct from the absolute-momentum, the sector-correlation and the altcoin-season APIs. It answers what is leading the market, measured against it.

api.oanor.com/relativestrength-api

How the eleven S&P 500 sectors move together, computed live from Yahoo Finance via the SPDR sector ETFs (no key, nothing stored). Sector correlation is the heart of equity diversification and rotation: defensives (utilities, staples, health care) and cyclicals (tech, discretionary, financials, energy) cluster differently, and when correlations rise the whole market is moving as one (risk-on/risk-off), while a spread of correlations means stock-picking and rotation are rewarded. The matrix endpoint returns the full pairwise return-correlation matrix across all eleven sectors with the most- and least-correlated sector pairs. The sector endpoint returns one sector's correlation to every other, ranked, plus its beta to the S&P 500 (how much it amplifies the market). The sectors endpoint lists what is covered. The equity sector correlation / rotation cut — distinct from the cross-asset correlation matrix (asset classes, not sectors), the crypto and currency correlation APIs (other markets) and the sector price/performance feed. It answers which sectors are the same bet and which diversify, within the stock market.

api.oanor.com/sectorcorrelation-api

One number that tells you whether crypto capital is rotating into altcoins or huddling in Bitcoin, computed live from Binance daily candles (no key, nothing stored). The market swings between two regimes: in "altcoin season" most alts outperform Bitcoin and money chases the long tail; in "Bitcoin season" alts bleed against BTC and capital flees to the majors. The classic gauge is simple — of the top altcoins, what share has outperformed Bitcoin over the last 90 days? Above ~75% it is altcoin season; below ~25% it is Bitcoin season. The index endpoint returns that index (0-100), the season label, Bitcoin's own return over the window and how many alts out- versus under-performed. The leaderboard endpoint ranks the alts by their excess return versus Bitcoin — who is leading the rotation and who is lagging — each with its own return, BTC's return and the gap. The coins endpoint lists the universe. The altcoin-season / alt-vs-BTC rotation cut — distinct from the market-cap-dominance and global-market APIs (which report BTC's share of total cap, not relative performance), the single-coin momentum and the price APIs. It answers whether it is altseason, not what the market cap is.

api.oanor.com/altseason-api

3D rotation maths as an API: convert freely between quaternions, Euler angles, axis-angle and rotation matrices, compose rotations, rotate vectors, and interpolate. The convert endpoint takes any one representation — a quaternion {w,x,y,z}, Euler angles (roll, pitch, yaw), an axis and angle, or a 3×3 matrix — and returns all four forms at once, normalized. The multiply endpoint composes two quaternions (the Hamilton product) so you can chain rotations. The rotate endpoint applies a quaternion to a 3D vector. The slerp endpoint does spherical linear interpolation between two orientations along the shortest path — the standard way to animate smooth rotations. Euler angles use the aerospace Z-Y-X (yaw-pitch-roll) intrinsic convention in degrees; quaternions follow the Hamilton convention with order w,x,y,z; matrices are row-major right-handed. Everything is computed locally and deterministically, so it is instant and private. Ideal for game and graphics engines, robotics and drones, IMU and sensor fusion, aerospace and flight dynamics, VR/AR, and 3D content tooling. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 5 endpoints. This is 3D rotation maths; for 2D geometry use a geometry API and for plain angle-unit conversion use an angle API.

api.oanor.com/quaternion-api