/**
 * End instants of the four movable panchang elements: the moment the
 * current tithi, karana, nakshatra, or yoga gives way to the next one
 * ("Tritiya upto 14:37"). Each is the next crossing of the element's
 * boundary angle, solved with core's mean-rate iteration; the sidereal
 * elements (nakshatra, yoga) are solved on the sidereal value directly,
 * so the boundaries move with the ayanamsa as they should.
 */
/**
 * Instant the tithi in effect at `jdUt` ends (Moon–Sun elongation
 * reaches the next multiple of 12°), as a UT Julian day.
 *
 * @example
 * ```ts
 * // Founder instant, Shukla Pratipada:
 * tithiEndTime(2449217.71875); // ≈ 2449218.167 (1993-08-18 16:00:35 UT)
 * ```
 */
export declare function tithiEndTime(jdUt: number): number;
/**
 * Instant the karana (half-tithi) in effect at `jdUt` ends (elongation
 * reaches the next multiple of 6°), as a UT Julian day.
 *
 * @example
 * ```ts
 * karanaEndTime(2449217.71875); // ≈ 2449217.740 (1993-08-18 05:45:49 UT)
 * ```
 */
export declare function karanaEndTime(jdUt: number): number;
/**
 * Instant the nakshatra in effect at `jdUt` ends (sidereal Moon reaches
 * the next multiple of 13°20′), as a UT Julian day.
 *
 * @example
 * ```ts
 * // Magha runs out mid-afternoon on the founder date:
 * nakshatraEndTime(2449217.71875); // ≈ 2449218.126 (1993-08-18 15:02 UT)
 * ```
 */
export declare function nakshatraEndTime(jdUt: number): number;
/**
 * Instant the yoga in effect at `jdUt` ends (sidereal Sun + Moon sum
 * reaches the next multiple of 13°20′), as a UT Julian day.
 *
 * @example
 * ```ts
 * // Parigha ends around midday on the founder date:
 * yogaEndTime(2449217.71875); // ≈ 2449218.007 (1993-08-18 12:10 UT)
 * ```
 */
export declare function yogaEndTime(jdUt: number): number;
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