{"id":"vidhyamitra:day:2068-05-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2068-05-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2068-05-15","date_display":"May 15, 2068 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2068,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476516.770833,"kali_year":5170,"ahargana":1888051.2708,"sun":{"sidereal_longitude":30.0757,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":183.6044,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.5287,"elapsed_within_tithi_degrees":9.5287},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.6044,"elapsed_within_degrees":10.271},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.6801},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2068,"month":5,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476516.770833,"ahargana":1888051.2708,"kali_year":5170,"ayanamsa_lahiri":24.8081,"grahas":{"sun":{"sidereal_longitude":30.25240500000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":184.726405,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-2.7905},"mars":{"sidereal_longitude":75.667505,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":39.69120499999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":291.13700500000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"venus":{"sidereal_longitude":38.440004999999985,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":141.760805,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":221.9577,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.9577,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2068,"month":5,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476516.770833,"kali_year":5170,"ahargana":1888051.2708,"sun":{"sidereal_longitude":30.0757,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":183.6044,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":153.5287,"elapsed_within_tithi_degrees":9.5287},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":183.6044,"elapsed_within_degrees":10.271},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":213.6801},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.791,"elongation":153.529},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.791,"opposition_distance":26.471}},"eclipse_window_40days":[{"offset_days":2,"type":"lunar","occurs":true,"moon_latitude":-0.983,"opposition_distance":2.765},{"offset_days":16,"type":"solar","occurs":true,"moon_latitude":-0.35,"elongation":0.217}]},"calendars":{"vikram_samvat":2125,"vikram_samvatsara":"Plava","saka_samvat":1990,"saka_samvatsara":"Sarvadhāri","bengali_samvat":1475,"malayalam_era":1244,"nanakshahi_year":599,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Trayodaśī · Vikram 2125 Plava · Śaka 1990 Sarvadhāri"},"festivals":[{"id":"vrishabha-sankranti","name":"Vṛṣabha Saṅkrānti","name_sanskrit":"वृषभ सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Taurus.","vrata":false,"detection":{"sun_rashi":"Vṛṣabha"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2068-05-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga May 15, 2068 CE · Vidhyamitra","description":"Vedic pañchāṅga for May 15, 2068 CE: Śukla Trayodaśī · Citrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2068-05-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2068-05-15","sa":"https://sa.vidhyamitra.com/day/2068-05-15","hi":"https://hi.vidhyamitra.com/day/2068-05-15","x-default":"https://vidhyamitra.com/day/2068-05-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T22:07:33.204Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T22:07:33.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}