{"id":"vidhyamitra:city-day:mathura:-3102-12-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/-3102-12-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3102-12-11","date_display":"December 11, 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":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588396.770833,"kali_year":0,"ahargana":-68.7292,"sun":{"sidereal_longitude":293.6759,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":170.4888,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.8129,"elapsed_within_tithi_degrees":8.8129},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.4888,"elapsed_within_degrees":10.4888},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.1648},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":11,"hour":6,"minute":30,"calendar":"julian"},"julian_day":588396.770833,"ahargana":-68.7292,"kali_year":0,"ayanamsa_lahiri":-47.4054,"grahas":{"sun":{"sidereal_longitude":293.6759,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":170.4888,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-1.023},"mars":{"sidereal_longitude":312.5213,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":302.228,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":346.0984,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":275.0187,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":344.3616,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":183.6416,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":3.6416,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"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":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":588396.770833,"kali_year":0,"ahargana":-68.7292,"sun":{"sidereal_longitude":293.6759,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":170.4888,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":236.8129,"elapsed_within_tithi_degrees":8.8129},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.4888,"elapsed_within_degrees":10.4888},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":104.1648},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.023,"elongation":123.187},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.023,"opposition_distance":56.813}},"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":"06:56","sunsetLocal":"17:30","solarNoonLocal":"12:13","dayLengthHours":10.571917601885595,"dayLengthDisplay":"10 Hours 34 Mins 19 Secs","nightLengthDisplay":"13 Hours 25 Mins 41 Secs","moonriseLocal":"21:15","moonsetLocal":"10:46","rahuKala":{"name":"Rāhu Kāla","start":"09:35","end":"10:54","startHours":9.578972554786386,"endHours":10.900462255022086,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:33","end":"14:52","startHours":13.543441655493485,"endHours":14.864931355729183,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:56","end":"08:15","startHours":6.935993154314988,"endHours":8.257482854550688,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:24","end":"09:45","startHours":9.402773928088294,"endHours":9.75517118148448,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:23","end":"07:40","startHours":7.376489721060222,"endHours":7.6584075237771705,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:52","end":"12:34","startHours":11.8695547018616,"endHours":12.574349208653972,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:32","end":"06:14","startHours":5.526404140730242,"endHours":6.231198647522615,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:03","end":"06:56","startHours":6.055000020824522,"endHours":6.935993154314988,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:41","startHours":13.983938222238718,"endHours":14.688732729031091,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.307910756200585,"endHours":17.707910756200583,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:57","startHours":17.507910756200584,"endHours":17.948407322945815,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.257910756200584,"endHours":19.007910756200584,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:52","end":"00:34","startHours":23.8695547018616,"endHours":24.574349208653974,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:56","end":"08:15","startHours":6.935993154314988,"endHours":8.257482854550688,"quality":"inauspicious"},{"name":"Śubha","start":"08:15","end":"09:35","startHours":8.257482854550688,"endHours":9.578972554786386,"quality":"auspicious"},{"name":"Roga","start":"09:35","end":"10:54","startHours":9.578972554786386,"endHours":10.900462255022086,"quality":"inauspicious"},{"name":"Udveg","start":"10:54","end":"12:13","startHours":10.900462255022086,"endHours":12.221951955257786,"quality":"inauspicious"},{"name":"Chala","start":"12:13","end":"13:33","startHours":12.221951955257786,"endHours":13.543441655493485,"quality":"neutral"},{"name":"Labha","start":"13:33","end":"14:52","startHours":13.543441655493485,"endHours":14.864931355729183,"quality":"auspicious"},{"name":"Amṛta","start":"14:52","end":"16:11","startHours":14.864931355729183,"endHours":16.186421055964885,"quality":"auspicious"},{"name":"Kāla","start":"16:11","end":"17:30","startHours":16.186421055964885,"endHours":17.507910756200584,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:30","end":"19:11","startHours":17.507910756200584,"endHours":19.186421055964885,"quality":"auspicious"},{"name":"Amṛta","start":"19:11","end":"20:52","startHours":19.186421055964885,"endHours":20.864931355729183,"quality":"auspicious"},{"name":"Kāla","start":"20:52","end":"22:33","startHours":20.864931355729183,"endHours":22.543441655493485,"quality":"inauspicious"},{"name":"Śubha","start":"22:33","end":"00:13","startHours":22.543441655493485,"endHours":24.221951955257786,"quality":"auspicious"},{"name":"Roga","start":"00:13","end":"01:54","startHours":24.221951955257786,"endHours":25.900462255022088,"quality":"inauspicious"},{"name":"Udveg","start":"01:54","end":"03:35","startHours":25.900462255022088,"endHours":27.57897255478639,"quality":"inauspicious"},{"name":"Chala","start":"03:35","end":"05:15","startHours":27.57897255478639,"endHours":29.257482854550688,"quality":"neutral"},{"name":"Labha","start":"05:15","end":"06:56","startHours":29.257482854550688,"endHours":30.93599315431499,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.935993154314988,"endHours":7.935993154314988,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.935993154314988,"endHours":8.935993154314989,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.935993154314989,"endHours":9.935993154314989,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.935993154314989,"endHours":10.935993154314989,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.935993154314989,"endHours":11.935993154314989,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.935993154314989,"endHours":12.935993154314989,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.935993154314989,"endHours":13.935993154314989,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.935993154314989,"endHours":14.935993154314989,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.935993154314989,"endHours":15.935993154314989,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.935993154314989,"endHours":16.93599315431499,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.93599315431499,"endHours":17.93599315431499,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.93599315431499,"endHours":18.93599315431499,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.93599315431499,"endHours":19.93599315431499,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.93599315431499,"endHours":20.93599315431499,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.93599315431499,"endHours":21.93599315431499,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.93599315431499,"endHours":22.93599315431499,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.93599315431499,"endHours":23.93599315431499,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.93599315431499,"endHours":24.93599315431499,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.93599315431499,"endHours":25.93599315431499,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.93599315431499,"endHours":26.93599315431499,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.93599315431499,"endHours":27.93599315431499,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.93599315431499,"endHours":28.93599315431499,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.93599315431499,"endHours":29.93599315431499,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.93599315431499,"endHours":30.93599315431499,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.352597976353714,"eotMinutes":5.988082684532823,"ayanamsa":-47.4054}},"calendars":{"vikram_samvat":-3045,"saka_samvat":-3180,"bengali_samvat":-3695,"malayalam_era":-3926,"nanakshahi_year":-4571,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram -3045 undefined · Śaka -3180 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 11, 3103 BCE · Mathurā · Vidhyamitra","description":"December 11, 3103 BCE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:56, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/-3102-12-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/-3102-12-11","sa":"https://sa.vidhyamitra.com/city/mathura/-3102-12-11","hi":"https://hi.vidhyamitra.com/city/mathura/-3102-12-11","x-default":"https://vidhyamitra.com/city/mathura/-3102-12-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T01:14:43.392Z","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":"2026-08-13T01:14:43.392Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T01:14:43.392Z","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"}}}