{"id":"vidhyamitra:city-day:agra:2002-12-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-12-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-15","date_display":"December 15, 2002 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":2002,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452623.770833,"kali_year":5104,"ahargana":1864158.2708,"sun":{"sidereal_longitude":238.5919,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":3.8939,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.302,"elapsed_within_tithi_degrees":5.302},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":3.8939,"elapsed_within_degrees":3.8939},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.4858},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"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":2002,"month":12,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452623.770833,"ahargana":1864158.2708,"kali_year":5104,"ayanamsa_lahiri":23.8943,"grahas":{"sun":{"sidereal_longitude":238.98659299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":5.776693000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false,"latitude":-3.126},"mars":{"sidereal_longitude":194.73809299999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.49839299999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":113.927593,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":195.56009300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":61.81669299999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.9239,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.9239,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452623.770833,"kali_year":5104,"ahargana":1864158.2708,"sun":{"sidereal_longitude":238.5919,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":3.8939,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":125.302,"elapsed_within_tithi_degrees":5.302},"nakshatra":{"number":1,"name":"Aśvinī","pada":2,"moon_longitude":3.8939,"elapsed_within_degrees":3.8939},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.4858},"karana":{"half_tithi_index":20,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.126,"elongation":125.302},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.126,"opposition_distance":54.698}},"eclipse_window_40days":[{"offset_days":-11,"type":"solar","occurs":true,"moon_latitude":0.273,"elongation":2.306},{"offset_days":5,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:01","sunsetLocal":"17:27","solarNoonLocal":"12:14","dayLengthHours":10.4403408145075,"dayLengthDisplay":"10 Hours 26 Mins 25 Secs","nightLengthDisplay":"13 Hours 33 Mins 35 Secs","moonriseLocal":"14:15","moonsetLocal":"03:07","rahuKala":{"name":"Rāhu Kāla","start":"16:09","end":"17:27","startHours":16.144955554880777,"endHours":17.449998156694214,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:14","end":"13:32","startHours":12.229827749440464,"endHours":13.5348703512539,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:50","end":"16:09","startHours":14.839912953067337,"endHours":16.144955554880777,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:27","end":"09:48","startHours":9.445736865571796,"endHours":9.79374822605538,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:27","end":"07:43","startHours":7.444671542791192,"endHours":7.723080631178059,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:35","startHours":11.88181638895688,"endHours":12.577839109924048,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:37","end":"06:19","startHours":5.617611900252379,"endHours":6.3136346212195456,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:08","end":"07:01","startHours":6.1396289409777545,"endHours":7.0096573421867125,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:58","end":"14:40","startHours":13.969884551858378,"endHours":14.665907272825544,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:15","end":"17:39","startHours":17.249998156694215,"endHours":17.649998156694213,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:27","end":"17:53","startHours":17.449998156694214,"endHours":17.88501235729869,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:12","end":"18:57","startHours":17.199998156694214,"endHours":18.949998156694214,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:35","startHours":23.88181638895688,"endHours":24.577839109924046,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:01","end":"08:19","startHours":7.0096573421867125,"endHours":8.31469994400015,"quality":"inauspicious"},{"name":"Chala","start":"08:19","end":"09:37","startHours":8.31469994400015,"endHours":9.619742545813587,"quality":"neutral"},{"name":"Labha","start":"09:37","end":"10:55","startHours":9.619742545813587,"endHours":10.924785147627025,"quality":"auspicious"},{"name":"Amṛta","start":"10:55","end":"12:14","startHours":10.924785147627025,"endHours":12.229827749440464,"quality":"auspicious"},{"name":"Kāla","start":"12:14","end":"13:32","startHours":12.229827749440464,"endHours":13.5348703512539,"quality":"inauspicious"},{"name":"Śubha","start":"13:32","end":"14:50","startHours":13.5348703512539,"endHours":14.839912953067337,"quality":"auspicious"},{"name":"Roga","start":"14:50","end":"16:09","startHours":14.839912953067337,"endHours":16.144955554880777,"quality":"inauspicious"},{"name":"Udveg","start":"16:09","end":"17:27","startHours":16.144955554880777,"endHours":17.449998156694214,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:27","end":"19:09","startHours":17.449998156694214,"endHours":19.144955554880777,"quality":"auspicious"},{"name":"Roga","start":"19:09","end":"20:50","startHours":19.144955554880777,"endHours":20.83991295306734,"quality":"inauspicious"},{"name":"Udveg","start":"20:50","end":"22:32","startHours":20.83991295306734,"endHours":22.5348703512539,"quality":"inauspicious"},{"name":"Chala","start":"22:32","end":"00:14","startHours":22.5348703512539,"endHours":24.229827749440464,"quality":"neutral"},{"name":"Labha","start":"00:14","end":"01:55","startHours":24.229827749440464,"endHours":25.924785147627027,"quality":"auspicious"},{"name":"Amṛta","start":"01:55","end":"03:37","startHours":25.924785147627027,"endHours":27.619742545813587,"quality":"auspicious"},{"name":"Kāla","start":"03:37","end":"05:19","startHours":27.619742545813587,"endHours":29.31469994400015,"quality":"inauspicious"},{"name":"Śubha","start":"05:19","end":"07:01","startHours":29.31469994400015,"endHours":31.009657342186713,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0096573421867125,"endHours":8.009657342186713,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.009657342186713,"endHours":9.009657342186713,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.009657342186713,"endHours":10.009657342186713,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.009657342186713,"endHours":11.009657342186713,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.009657342186713,"endHours":12.009657342186713,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.009657342186713,"endHours":13.009657342186713,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.009657342186713,"endHours":14.009657342186713,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.009657342186713,"endHours":15.009657342186713,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.009657342186713,"endHours":16.009657342186713,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.009657342186713,"endHours":17.009657342186713,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.009657342186713,"endHours":18.009657342186713,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.009657342186713,"endHours":19.009657342186713,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.009657342186713,"endHours":20.009657342186713,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.009657342186713,"endHours":21.009657342186713,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.009657342186713,"endHours":22.009657342186713,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.009657342186713,"endHours":23.009657342186713,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.009657342186713,"endHours":24.009657342186713,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.009657342186713,"endHours":25.009657342186713,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.009657342186713,"endHours":26.009657342186713,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.009657342186713,"endHours":27.009657342186713,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.009657342186713,"endHours":28.009657342186713,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.009657342186713,"endHours":29.009657342186713,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.009657342186713,"endHours":30.009657342186713,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.009657342186713,"endHours":31.009657342186713,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.24515793914259,"eotMinutes":4.177935033572184,"ayanamsa":23.8943}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ekādaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[{"id":"gita-jayanti","name":"Gītā Jayantī (= Mokṣadā Ekādaśī)","name_sanskrit":"गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad-Gītā speaker)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra (Mahābhārata Day 1).","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":1,"related_chart":"krishna","historical_anchor":{"event":"Bhagavad Gītā delivered at Kurukṣetra (Mahābhārata Day 1)","date_julian":"-3137-10-04","location":"Kurukṣetra"},"sources":["Bhagavad Gītā (Mahābhārata, Bhīṣma Parva)"]},{"id":"vaikuntha-ekadashi","name":"Vaikuṇṭha Ekādaśī","name_sanskrit":"वैकुण्ठ एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Most sacred Ekādaśī of the year; 'Vaikuṇṭha-dvāram udghaṭitam'.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":2},{"id":"mokshada-ekadashi","name":"Mokṣadā Ekādaśī (Gītā Jayantī)","name_sanskrit":"मोक्षदा एकादशी / गीता जयन्ती","tradition":"Vaishnava","associated_deity":"Krishna (Bhagavad Gītā delivery)","significance":"Day Bhagavad Gītā was delivered at Kurukṣetra.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 15, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"December 15, 2002 CE for Agra, Uttar Pradesh: Śukla Ekādaśī, sūryodaya 07:01, sūryāsta 17:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-12-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-12-15","sa":"https://sa.vidhyamitra.com/city/agra/2002-12-15","hi":"https://hi.vidhyamitra.com/city/agra/2002-12-15","x-default":"https://vidhyamitra.com/city/agra/2002-12-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:01:11.211Z","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":"2026-06-02T10:01:11.211Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:01:11.211Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}