{"id":"vidhyamitra:city-day:agra:2002-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452294.770833,"kali_year":5103,"ahargana":1863829.2708,"sun":{"sidereal_longitude":275.8425,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":350.3516,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.5091,"elapsed_within_tithi_degrees":2.5091},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3516,"elapsed_within_degrees":3.6849},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.194},"karana":{"half_tithi_index":12,"name":"Gara"},"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":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452294.770833,"ahargana":1863829.2708,"kali_year":5103,"ayanamsa_lahiri":23.8817,"grahas":{"sun":{"sidereal_longitude":275.91956400000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":347.133964,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-4.3465},"mars":{"sidereal_longitude":336.920964,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":290.492664,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":74.22306400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":277.23506399999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":44.38106399999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":65.3559,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":245.3559,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":"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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452294.770833,"kali_year":5103,"ahargana":1863829.2708,"sun":{"sidereal_longitude":275.8425,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":350.3516,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":74.5091,"elapsed_within_tithi_degrees":2.5091},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.3516,"elapsed_within_degrees":3.6849},"yoga":{"number":20,"name":"Śiva","sum_longitude":266.194},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.346,"elongation":74.509},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.346,"opposition_distance":105.491}},"eclipse_window_40days":[]},"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":"07:08","sunsetLocal":"17:49","solarNoonLocal":"12:29","dayLengthHours":10.684208786588258,"dayLengthDisplay":"10 Hours 41 Mins 03 Secs","nightLengthDisplay":"13 Hours 18 Mins 57 Secs","moonriseLocal":"11:02","moonsetLocal":"23:25","rahuKala":{"name":"Rāhu Kāla","start":"16:29","end":"17:49","startHours":16.488776683924417,"endHours":17.82430278224795,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:29","end":"13:49","startHours":12.482198388953822,"endHours":13.817724487277353,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:09","end":"16:29","startHours":15.153250585600887,"endHours":16.488776683924417,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"09:59","startHours":9.63307604586362,"endHours":9.989216338749895,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.585269361767537,"endHours":7.8701815960765575,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:50","startHours":12.126058096067547,"endHours":12.838338681840098,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.715532824114591,"endHours":6.4278134098871424,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:08","startHours":6.249743263444005,"endHours":7.140093995659693,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:59","startHours":14.262899853385196,"endHours":14.975180439157747,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.624302782247952,"endHours":18.02430278224795,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:16","startHours":17.82430278224795,"endHours":18.269478148355795,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.57430278224795,"endHours":19.32430278224795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:50","startHours":24.126058096067545,"endHours":24.8383386818401,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:08","end":"08:29","startHours":7.140093995659693,"endHours":8.475620093983224,"quality":"inauspicious"},{"name":"Chala","start":"08:29","end":"09:49","startHours":8.475620093983224,"endHours":9.811146192306758,"quality":"neutral"},{"name":"Labha","start":"09:49","end":"11:09","startHours":9.811146192306758,"endHours":11.146672290630288,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:29","startHours":11.146672290630288,"endHours":12.482198388953822,"quality":"auspicious"},{"name":"Kāla","start":"12:29","end":"13:49","startHours":12.482198388953822,"endHours":13.817724487277353,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:09","startHours":13.817724487277353,"endHours":15.153250585600887,"quality":"auspicious"},{"name":"Roga","start":"15:09","end":"16:29","startHours":15.153250585600887,"endHours":16.488776683924417,"quality":"inauspicious"},{"name":"Udveg","start":"16:29","end":"17:49","startHours":16.488776683924417,"endHours":17.82430278224795,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:49","end":"19:29","startHours":17.82430278224795,"endHours":19.48877668392442,"quality":"auspicious"},{"name":"Roga","start":"19:29","end":"21:09","startHours":19.48877668392442,"endHours":21.153250585600887,"quality":"inauspicious"},{"name":"Udveg","start":"21:09","end":"22:49","startHours":21.153250585600887,"endHours":22.817724487277353,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:29","startHours":22.817724487277353,"endHours":24.482198388953822,"quality":"neutral"},{"name":"Labha","start":"00:29","end":"02:09","startHours":24.482198388953822,"endHours":26.146672290630292,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:49","startHours":26.146672290630292,"endHours":27.811146192306758,"quality":"auspicious"},{"name":"Kāla","start":"03:49","end":"05:29","startHours":27.811146192306758,"endHours":29.475620093983224,"quality":"inauspicious"},{"name":"Śubha","start":"05:29","end":"07:08","startHours":29.475620093983224,"endHours":31.140093995659694,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.140093995659693,"endHours":8.140093995659694,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.140093995659694,"endHours":9.140093995659694,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.140093995659694,"endHours":10.140093995659694,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.140093995659694,"endHours":11.140093995659694,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.140093995659694,"endHours":12.140093995659694,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.140093995659694,"endHours":13.140093995659694,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.140093995659694,"endHours":14.140093995659694,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.140093995659694,"endHours":15.140093995659694,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.140093995659694,"endHours":16.140093995659694,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.140093995659694,"endHours":17.140093995659694,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.140093995659694,"endHours":18.140093995659694,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.140093995659694,"endHours":19.140093995659694,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.140093995659694,"endHours":20.140093995659694,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.140093995659694,"endHours":21.140093995659694,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.140093995659694,"endHours":22.140093995659694,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.140093995659694,"endHours":23.140093995659694,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.140093995659694,"endHours":24.140093995659694,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.140093995659694,"endHours":25.140093995659694,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.140093995659694,"endHours":26.140093995659694,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.140093995659694,"endHours":27.140093995659694,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.140093995659694,"endHours":28.140093995659694,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.140093995659694,"endHours":29.140093995659694,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.140093995659694,"endHours":30.140093995659694,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.140093995659694,"endHours":31.140093995659694,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.189983698241306,"eotMinutes":-10.9643033372293,"ayanamsa":23.8817}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"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":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 January 20, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"January 20, 2002 CE for Agra, Uttar Pradesh: Śukla Saptamī, sūryodaya 07:08, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-01-20","sa":"https://sa.vidhyamitra.com/city/agra/2002-01-20","hi":"https://hi.vidhyamitra.com/city/agra/2002-01-20","x-default":"https://vidhyamitra.com/city/agra/2002-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-30T23:27:15.299Z","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":"2026-05-30T23:27:15.299Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-30T23:27:15.299Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}