{"id":"vidhyamitra:day:2054-09-29:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2054-09-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2054-09-29","date_display":"September 29, 2054 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":2054,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471539.770833,"kali_year":5156,"ahargana":1883074.2708,"sun":{"sidereal_longitude":160.6447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.8059,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.1612,"elapsed_within_tithi_degrees":5.1612},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.8059,"elapsed_within_degrees":9.8059},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.4506},"karana":{"half_tithi_index":54,"name":"Gara"},"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":2054,"month":9,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2471539.770833,"ahargana":1883074.2708,"kali_year":5156,"ayanamsa_lahiri":24.6177,"grahas":{"sun":{"sidereal_longitude":161.52196300000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":128.47646299999997,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":0.3248},"mars":{"sidereal_longitude":60.80816299999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":178.06976299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":217.54766300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":157.02646300000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":327.36736299999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":125.6631,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.6631,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"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":2054,"month":9,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2471539.770833,"kali_year":5156,"ahargana":1883074.2708,"sun":{"sidereal_longitude":160.6447,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":129.8059,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":329.1612,"elapsed_within_tithi_degrees":5.1612},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.8059,"elapsed_within_degrees":9.8059},"yoga":{"number":22,"name":"Sādhya","sum_longitude":290.4506},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.325,"elongation":30.839},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.325,"opposition_distance":149.161}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2111,"vikram_samvatsara":"Sarvajit","saka_samvat":1976,"saka_samvatsara":"Bhāva","bengali_samvat":1461,"malayalam_era":1230,"nanakshahi_year":585,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Trayodaśī · Vikram 2111 Sarvajit · Śaka 1976 Bhāva"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"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":"2054-09-29T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 29, 2054 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 29, 2054 CE: Kṛṣṇa Trayodaśī · Maghā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2054-09-29","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2054-09-29","sa":"https://sa.vidhyamitra.com/day/2054-09-29","hi":"https://hi.vidhyamitra.com/day/2054-09-29","x-default":"https://vidhyamitra.com/day/2054-09-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:22:22.015Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T09:22:22.015Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}