{"id":"vidhyamitra:city-day:mathura:-3137-12-25:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3137-12-25","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-25","date_display":"December 25, 3138 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":-3137,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575626.770833,"kali_year":-35,"ahargana":-12838.7292,"sun":{"sidereal_longitude":307.9551,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":36.1793,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.2242,"elapsed_within_tithi_degrees":4.2242},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.1793,"elapsed_within_degrees":9.5127},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1345},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":-3137,"month":12,"day":25,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575626.770833,"ahargana":-12838.7292,"kali_year":-35,"ayanamsa_lahiri":-47.8938,"grahas":{"sun":{"sidereal_longitude":307.9551,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":36.1793,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false,"latitude":-4.3646},"mars":{"sidereal_longitude":102.5603,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":319.9918,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":6.0932,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":308.7565,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":285.5737,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.2577,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.2577,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":-3137,"month":12,"day":25,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575626.770833,"kali_year":-35,"ahargana":-12838.7292,"sun":{"sidereal_longitude":307.9551,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":36.1793,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":88.2242,"elapsed_within_tithi_degrees":4.2242},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":36.1793,"elapsed_within_degrees":9.5127},"yoga":{"number":26,"name":"Indra","sum_longitude":344.1345},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.365,"elongation":88.224},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.365,"opposition_distance":91.776}},"eclipse_window_40days":[{"offset_days":-7,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":8,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":"07:07","sunsetLocal":"17:33","solarNoonLocal":"12:20","dayLengthHours":10.432310904975642,"dayLengthDisplay":"10 Hours 25 Mins 56 Secs","nightLengthDisplay":"13 Hours 34 Mins 04 Secs","moonriseLocal":"12:20","moonsetLocal":"00:06","rahuKala":{"name":"Rāhu Kāla","start":"13:38","end":"14:56","startHours":13.634016478823114,"endHours":14.938055341945068,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:07","end":"08:25","startHours":7.113822163213337,"endHours":8.417861026335292,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:43","end":"11:02","startHours":9.721899889457248,"endHours":11.025938752579203,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:33","end":"09:54","startHours":9.548028041040986,"endHours":9.895771737873508,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:50","startHours":7.548501784253989,"endHours":7.8266967417200055,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:41","startHours":11.982233918868635,"endHours":12.677721312533679,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.722847375883251,"endHours":6.418334769548294,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:07","startHours":6.244462921132033,"endHours":7.113822163213337,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:46","startHours":14.068696099863764,"endHours":14.764183493528808,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:21","end":"17:45","startHours":17.34613306818898,"endHours":17.74613306818898,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:33","end":"17:59","startHours":17.54613306818898,"endHours":17.98081268922963,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:18","end":"19:03","startHours":17.29613306818898,"endHours":19.04613306818898,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:41","startHours":23.982233918868637,"endHours":24.677721312533677,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:07","end":"08:25","startHours":7.113822163213337,"endHours":8.417861026335292,"quality":"auspicious"},{"name":"Roga","start":"08:25","end":"09:43","startHours":8.417861026335292,"endHours":9.721899889457248,"quality":"inauspicious"},{"name":"Udveg","start":"09:43","end":"11:02","startHours":9.721899889457248,"endHours":11.025938752579203,"quality":"inauspicious"},{"name":"Chala","start":"11:02","end":"12:20","startHours":11.025938752579203,"endHours":12.329977615701157,"quality":"neutral"},{"name":"Labha","start":"12:20","end":"13:38","startHours":12.329977615701157,"endHours":13.634016478823114,"quality":"auspicious"},{"name":"Amṛta","start":"13:38","end":"14:56","startHours":13.634016478823114,"endHours":14.938055341945068,"quality":"auspicious"},{"name":"Kāla","start":"14:56","end":"16:15","startHours":14.938055341945068,"endHours":16.242094205067026,"quality":"inauspicious"},{"name":"Śubha","start":"16:15","end":"17:33","startHours":16.242094205067026,"endHours":17.54613306818898,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:33","end":"19:15","startHours":17.54613306818898,"endHours":19.242094205067023,"quality":"auspicious"},{"name":"Kāla","start":"19:15","end":"20:56","startHours":19.242094205067023,"endHours":20.93805534194507,"quality":"inauspicious"},{"name":"Śubha","start":"20:56","end":"22:38","startHours":20.93805534194507,"endHours":22.634016478823114,"quality":"auspicious"},{"name":"Roga","start":"22:38","end":"00:20","startHours":22.634016478823114,"endHours":24.329977615701157,"quality":"inauspicious"},{"name":"Udveg","start":"00:20","end":"02:02","startHours":24.329977615701157,"endHours":26.0259387525792,"quality":"inauspicious"},{"name":"Chala","start":"02:02","end":"03:43","startHours":26.0259387525792,"endHours":27.721899889457248,"quality":"neutral"},{"name":"Labha","start":"03:43","end":"05:25","startHours":27.721899889457248,"endHours":29.41786102633529,"quality":"auspicious"},{"name":"Amṛta","start":"05:25","end":"07:07","startHours":29.41786102633529,"endHours":31.113822163213335,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.113822163213337,"endHours":8.113822163213337,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.113822163213337,"endHours":9.113822163213337,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.113822163213337,"endHours":10.113822163213337,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.113822163213337,"endHours":11.113822163213337,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.113822163213337,"endHours":12.113822163213337,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.113822163213337,"endHours":13.113822163213337,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.113822163213337,"endHours":14.113822163213337,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.113822163213337,"endHours":15.113822163213337,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.113822163213337,"endHours":16.113822163213335,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.113822163213335,"endHours":17.113822163213335,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.113822163213335,"endHours":18.113822163213335,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.113822163213335,"endHours":19.113822163213335,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.113822163213335,"endHours":20.113822163213335,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.113822163213335,"endHours":21.113822163213335,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.113822163213335,"endHours":22.113822163213335,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.113822163213335,"endHours":23.113822163213335,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.113822163213335,"endHours":24.113822163213335,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.113822163213335,"endHours":25.113822163213335,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.113822163213335,"endHours":26.113822163213335,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.113822163213335,"endHours":27.113822163213335,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.113822163213335,"endHours":28.113822163213335,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.113822163213335,"endHours":29.113822163213335,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.113822163213335,"endHours":30.113822163213335,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.113822163213335,"endHours":31.113822163213335,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.064285285689948,"eotMinutes":-0.4934569420694592,"ayanamsa":-47.8938}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"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 Aṣṭamī · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 25, 3138 BCE · Mathurā · Vidhyamitra","description":"December 25, 3138 BCE for Mathurā: Śukla Aṣṭamī, sūryodaya 07:07, sūryāsta 17:33.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3137-12-25","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3137-12-25","sa":"https://sa.vidhyamitra.com/city/mathura/-3137-12-25","hi":"https://hi.vidhyamitra.com/city/mathura/-3137-12-25","x-default":"https://vidhyamitra.com/city/mathura/-3137-12-25"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T12:38:18.948Z","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":"2026-09-06T12:38:18.948Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T12:38:18.948Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}