{"id":"vidhyamitra:city-day:mathura:-3102-12-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3102-12-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3102-12-26","date_display":"December 26, 3103 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3102,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588411.770833,"kali_year":0,"ahargana":-53.7292,"sun":{"sidereal_longitude":308.9097,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":17.0529,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1432,"elapsed_within_tithi_degrees":8.1432},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.0529,"elapsed_within_degrees":3.7196},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.9626},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":-3102,"month":12,"day":26,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588411.770833,"ahargana":-53.7292,"kali_year":0,"ayanamsa_lahiri":-47.4049,"grahas":{"sun":{"sidereal_longitude":308.9097,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":17.0529,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false,"latitude":-1.1033},"mars":{"sidereal_longitude":324.1503,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":292.4912,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":349.0551,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":293.8903,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":345.9224,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":182.8468,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":2.8468,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3102,"month":12,"day":26,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588411.770833,"kali_year":0,"ahargana":-53.7292,"sun":{"sidereal_longitude":308.9097,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":17.0529,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.1432,"elapsed_within_tithi_degrees":8.1432},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":17.0529,"elapsed_within_degrees":3.7196},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.9626},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.103,"elongation":68.143},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.103,"opposition_distance":111.857}},"eclipse_window_40days":[]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:08","sunsetLocal":"17:33","solarNoonLocal":"12:20","dayLengthHours":10.42403634982676,"dayLengthDisplay":"10 Hours 25 Mins 27 Secs","nightLengthDisplay":"13 Hours 34 Mins 33 Secs","moonriseLocal":"11:15","moonsetLocal":"22:31","rahuKala":{"name":"Rāhu Kāla","start":"16:15","end":"17:33","startHours":16.24676717002544,"endHours":17.549771713753785,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:20","end":"13:38","startHours":12.337753538840404,"endHours":13.64075808256875,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:57","end":"16:15","startHours":14.943762626297094,"endHours":16.24676717002544,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.558010512219935,"endHours":9.905478390547493,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:50","startHours":7.560070211836472,"endHours":7.838044514498519,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.990285660512846,"endHours":12.685221417167963,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:44","end":"06:26","startHours":5.73586385061679,"endHours":6.430799607271907,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:08","startHours":6.257065668108128,"endHours":7.125735363927024,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:46","startHours":14.075092930478199,"endHours":14.770028687133317,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.349771713753785,"endHours":17.749771713753784,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:59","startHours":17.549771713753785,"endHours":17.984106561663232,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.299771713753785,"endHours":19.049771713753785,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.990285660512843,"endHours":24.685221417167963,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:08","end":"08:26","startHours":7.125735363927024,"endHours":8.42873990765537,"quality":"inauspicious"},{"name":"Chala","start":"08:26","end":"09:44","startHours":8.42873990765537,"endHours":9.731744451383715,"quality":"neutral"},{"name":"Labha","start":"09:44","end":"11:02","startHours":9.731744451383715,"endHours":11.034748995112059,"quality":"auspicious"},{"name":"Amṛta","start":"11:02","end":"12:20","startHours":11.034748995112059,"endHours":12.337753538840404,"quality":"auspicious"},{"name":"Kāla","start":"12:20","end":"13:38","startHours":12.337753538840404,"endHours":13.64075808256875,"quality":"inauspicious"},{"name":"Śubha","start":"13:38","end":"14:57","startHours":13.64075808256875,"endHours":14.943762626297094,"quality":"auspicious"},{"name":"Roga","start":"14:57","end":"16:15","startHours":14.943762626297094,"endHours":16.24676717002544,"quality":"inauspicious"},{"name":"Udveg","start":"16:15","end":"17:33","startHours":16.24676717002544,"endHours":17.549771713753785,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:33","end":"19:15","startHours":17.549771713753785,"endHours":19.24676717002544,"quality":"auspicious"},{"name":"Roga","start":"19:15","end":"20:57","startHours":19.24676717002544,"endHours":20.943762626297094,"quality":"inauspicious"},{"name":"Udveg","start":"20:57","end":"22:38","startHours":20.943762626297094,"endHours":22.64075808256875,"quality":"inauspicious"},{"name":"Chala","start":"22:38","end":"00:20","startHours":22.64075808256875,"endHours":24.337753538840403,"quality":"neutral"},{"name":"Labha","start":"00:20","end":"02:02","startHours":24.337753538840403,"endHours":26.03474899511206,"quality":"auspicious"},{"name":"Amṛta","start":"02:02","end":"03:44","startHours":26.03474899511206,"endHours":27.731744451383715,"quality":"auspicious"},{"name":"Kāla","start":"03:44","end":"05:26","startHours":27.731744451383715,"endHours":29.42873990765537,"quality":"inauspicious"},{"name":"Śubha","start":"05:26","end":"07:08","startHours":29.42873990765537,"endHours":31.125735363927024,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.125735363927024,"endHours":8.125735363927024,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.125735363927024,"endHours":9.125735363927024,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.125735363927024,"endHours":10.125735363927024,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.125735363927024,"endHours":11.125735363927024,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.125735363927024,"endHours":12.125735363927024,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.125735363927024,"endHours":13.125735363927024,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.125735363927024,"endHours":14.125735363927024,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.125735363927024,"endHours":15.125735363927024,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.125735363927024,"endHours":16.125735363927024,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.125735363927024,"endHours":17.125735363927024,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.125735363927024,"endHours":18.125735363927024,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.125735363927024,"endHours":19.125735363927024,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.125735363927024,"endHours":20.125735363927024,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.125735363927024,"endHours":21.125735363927024,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.125735363927024,"endHours":22.125735363927024,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.125735363927024,"endHours":23.125735363927024,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.125735363927024,"endHours":24.125735363927024,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.125735363927024,"endHours":25.125735363927024,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.125735363927024,"endHours":26.125735363927024,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.125735363927024,"endHours":27.125735363927024,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.125735363927024,"endHours":28.125735363927024,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.125735363927024,"endHours":29.125735363927024,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.125735363927024,"endHours":30.125735363927024,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.125735363927024,"endHours":31.125735363927024,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.164268913337896,"eotMinutes":-0.9600123304242594,"ayanamsa":-47.4049}},"calendars":{"vikram_samvat":-3045,"saka_samvat":-3180,"bengali_samvat":-3695,"malayalam_era":-3926,"nanakshahi_year":-4571,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Ṣaṣṭhī · Vikram -3045 undefined · Śaka -3180 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"mathura"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 26, 3103 BCE · Mathurā · Vidhyamitra","description":"December 26, 3103 BCE for Mathurā: Śukla Ṣaṣṭhī, sūryodaya 07:08, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3102-12-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3102-12-26","sa":"https://sa.vidhyamitra.com/city/mathura/-3102-12-26","hi":"https://hi.vidhyamitra.com/city/mathura/-3102-12-26","x-default":"https://vidhyamitra.com/city/mathura/-3102-12-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T20:45:00.632Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-11T20:45:00.632Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T20:45:00.632Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}