{"id":"vidhyamitra:city-day:patna:2002-06-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/patna/2002-06-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-06-04","date_display":"June 4, 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":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452429.770833,"kali_year":5104,"ahargana":1863964.2708,"sun":{"sidereal_longitude":49.2374,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":329.8631,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.6258,"elapsed_within_tithi_degrees":4.6258},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.8631,"elapsed_within_degrees":9.8631},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.1005},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":6,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452429.770833,"ahargana":1863964.2708,"kali_year":5104,"ayanamsa_lahiri":23.8868,"grahas":{"sun":{"sidereal_longitude":49.38770599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":330.83440599999994,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.4981},"mars":{"sidereal_longitude":70.41870599999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":38.10200600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":83.212606,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"venus":{"sidereal_longitude":83.35470599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":53.79800599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":58.2029,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":238.2029,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"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":6,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452429.770833,"kali_year":5104,"ahargana":1863964.2708,"sun":{"sidereal_longitude":49.2374,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":329.8631,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":280.6258,"elapsed_within_tithi_degrees":4.6258},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.8631,"elapsed_within_degrees":9.8631},"yoga":{"number":2,"name":"Prīti","sum_longitude":19.1005},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.498,"elongation":79.374},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.498,"opposition_distance":100.626}},"eclipse_window_40days":[{"offset_days":7,"type":"solar","occurs":true,"moon_latitude":-0.149,"elongation":0.05}]},"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"patna","name":"Patna, Bihar","lat":25.5941,"lon":85.1376,"tz_offset_hours":5.5,"state":"Bihar","country":"IN","tier":"tier-1"},"sunriseLocal":"04:58","sunsetLocal":"18:37","solarNoonLocal":"11:48","dayLengthHours":13.65353663548732,"dayLengthDisplay":"13 Hours 39 Mins 13 Secs","nightLengthDisplay":"10 Hours 20 Mins 47 Secs","moonriseLocal":"00:35","moonsetLocal":"12:32","rahuKala":{"name":"Rāhu Kāla","start":"15:12","end":"16:55","startHours":15.20611893799214,"endHours":16.912811017428055,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:23","end":"10:05","startHours":8.37935062024848,"endHours":10.086042699684395,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:48","end":"13:30","startHours":11.792734779120309,"endHours":13.499426858556223,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:09","end":"08:36","startHours":8.151791676323692,"endHours":8.606909564173268,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:32","end":"05:54","startHours":5.534863821188622,"endHours":5.898958131468284,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:20","end":"12:15","startHours":11.337616891270732,"endHours":12.247852666969886,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:09","end":"04:03","startHours":3.14549490997834,"endHours":4.055730685677495,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:50","end":"04:58","startHours":3.8281717417527066,"endHours":4.96596646137665,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:04","end":"14:59","startHours":14.068324218368197,"endHours":14.978559994067352,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:25","end":"18:49","startHours":18.41950309686397,"endHours":18.81950309686397,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:37","end":"19:11","startHours":18.61950309686397,"endHours":19.18840045667594,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:22","end":"20:07","startHours":18.36950309686397,"endHours":20.11950309686397,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:20","end":"00:15","startHours":23.33761689127073,"endHours":24.247852666969887,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"04:58","end":"06:40","startHours":4.96596646137665,"endHours":6.672658540812565,"quality":"inauspicious"},{"name":"Udveg","start":"06:40","end":"08:23","startHours":6.672658540812565,"endHours":8.37935062024848,"quality":"inauspicious"},{"name":"Chala","start":"08:23","end":"10:05","startHours":8.37935062024848,"endHours":10.086042699684395,"quality":"neutral"},{"name":"Labha","start":"10:05","end":"11:48","startHours":10.086042699684395,"endHours":11.792734779120309,"quality":"auspicious"},{"name":"Amṛta","start":"11:48","end":"13:30","startHours":11.792734779120309,"endHours":13.499426858556223,"quality":"auspicious"},{"name":"Kāla","start":"13:30","end":"15:12","startHours":13.499426858556223,"endHours":15.20611893799214,"quality":"inauspicious"},{"name":"Śubha","start":"15:12","end":"16:55","startHours":15.20611893799214,"endHours":16.912811017428055,"quality":"auspicious"},{"name":"Roga","start":"16:55","end":"18:37","startHours":16.912811017428055,"endHours":18.61950309686397,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:37","end":"19:55","startHours":18.61950309686397,"endHours":19.912811017428055,"quality":"inauspicious"},{"name":"Śubha","start":"19:55","end":"21:12","startHours":19.912811017428055,"endHours":21.206118937992137,"quality":"auspicious"},{"name":"Roga","start":"21:12","end":"22:30","startHours":21.206118937992137,"endHours":22.499426858556223,"quality":"inauspicious"},{"name":"Udveg","start":"22:30","end":"23:48","startHours":22.499426858556223,"endHours":23.79273477912031,"quality":"inauspicious"},{"name":"Chala","start":"23:48","end":"01:05","startHours":23.79273477912031,"endHours":25.086042699684395,"quality":"neutral"},{"name":"Labha","start":"01:05","end":"02:23","startHours":25.086042699684395,"endHours":26.37935062024848,"quality":"auspicious"},{"name":"Amṛta","start":"02:23","end":"03:40","startHours":26.37935062024848,"endHours":27.672658540812563,"quality":"auspicious"},{"name":"Kāla","start":"03:40","end":"04:58","startHours":27.672658540812563,"endHours":28.96596646137665,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:58","end":"05:58","startHours":4.96596646137665,"endHours":5.96596646137665,"planetary_lord":"Mars"},{"name":"Hora 2","start":"05:58","end":"06:58","startHours":5.96596646137665,"endHours":6.96596646137665,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"06:58","end":"07:58","startHours":6.96596646137665,"endHours":7.96596646137665,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"07:58","end":"08:58","startHours":7.96596646137665,"endHours":8.965966461376649,"planetary_lord":"Moon"},{"name":"Hora 5","start":"08:58","end":"09:58","startHours":8.965966461376649,"endHours":9.965966461376649,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"09:58","end":"10:58","startHours":9.965966461376649,"endHours":10.965966461376649,"planetary_lord":"Venus"},{"name":"Hora 7","start":"10:58","end":"11:58","startHours":10.965966461376649,"endHours":11.965966461376649,"planetary_lord":"Sun"},{"name":"Hora 8","start":"11:58","end":"12:58","startHours":11.965966461376649,"endHours":12.965966461376649,"planetary_lord":"Mars"},{"name":"Hora 9","start":"12:58","end":"13:58","startHours":12.965966461376649,"endHours":13.965966461376649,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"13:58","end":"14:58","startHours":13.965966461376649,"endHours":14.965966461376649,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"14:58","end":"15:58","startHours":14.965966461376649,"endHours":15.965966461376649,"planetary_lord":"Moon"},{"name":"Hora 12","start":"15:58","end":"16:58","startHours":15.965966461376649,"endHours":16.96596646137665,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"16:58","end":"17:58","startHours":16.96596646137665,"endHours":17.96596646137665,"planetary_lord":"Venus"},{"name":"Hora 14","start":"17:58","end":"18:58","startHours":17.96596646137665,"endHours":18.96596646137665,"planetary_lord":"Sun"},{"name":"Hora 15","start":"18:58","end":"19:58","startHours":18.96596646137665,"endHours":19.96596646137665,"planetary_lord":"Mars"},{"name":"Hora 16","start":"19:58","end":"20:58","startHours":19.96596646137665,"endHours":20.96596646137665,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"20:58","end":"21:58","startHours":20.96596646137665,"endHours":21.96596646137665,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"21:58","end":"22:58","startHours":21.96596646137665,"endHours":22.96596646137665,"planetary_lord":"Moon"},{"name":"Hora 19","start":"22:58","end":"23:58","startHours":22.96596646137665,"endHours":23.96596646137665,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"23:58","end":"00:58","startHours":23.96596646137665,"endHours":24.96596646137665,"planetary_lord":"Venus"},{"name":"Hora 21","start":"00:58","end":"01:58","startHours":24.96596646137665,"endHours":25.96596646137665,"planetary_lord":"Sun"},{"name":"Hora 22","start":"01:58","end":"02:58","startHours":25.96596646137665,"endHours":26.96596646137665,"planetary_lord":"Mars"},{"name":"Hora 23","start":"02:58","end":"03:58","startHours":26.96596646137665,"endHours":27.96596646137665,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"03:58","end":"04:58","startHours":27.96596646137665,"endHours":28.96596646137665,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":22.389826412373264,"eotMinutes":1.88551325278147,"ayanamsa":23.8868}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"patna"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga June 4, 2002 CE · Patna, Bihar · Vidhyamitra","description":"June 4, 2002 CE for Patna, Bihar: Kṛṣṇa Navamī, sūryodaya 04:58, sūryāsta 18:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/patna/2002-06-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/patna/2002-06-04","sa":"https://sa.vidhyamitra.com/city/patna/2002-06-04","hi":"https://hi.vidhyamitra.com/city/patna/2002-06-04","x-default":"https://vidhyamitra.com/city/patna/2002-06-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:17:10.154Z","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":"2026-06-01T19:17:10.154Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:17:10.154Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}