{"id":"vidhyamitra:city-day:berlin:2002-09-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2002-09-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-09-30","date_display":"September 30, 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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452547.770833,"kali_year":5104,"ahargana":1864082.2708,"sun":{"sidereal_longitude":162.0733,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":79.9942,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.9209,"elapsed_within_tithi_degrees":1.9209},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.9942,"elapsed_within_degrees":13.3275},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.0674},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":9,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452547.770833,"ahargana":1864082.2708,"kali_year":5104,"ayanamsa_lahiri":23.8914,"grahas":{"sun":{"sidereal_longitude":162.824797,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"moon":{"sidereal_longitude":76.79369700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":2.1139},"mars":{"sidereal_longitude":146.103497,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":158.31639700000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":107.97429699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":199.720097,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":64.99679700000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":51.9507,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":231.9507,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":9,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452547.770833,"kali_year":5104,"ahargana":1864082.2708,"sun":{"sidereal_longitude":162.0733,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":79.9942,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":277.9209,"elapsed_within_tithi_degrees":1.9209},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":79.9942,"elapsed_within_degrees":13.3275},"yoga":{"number":19,"name":"Parigha","sum_longitude":242.0674},"karana":{"half_tithi_index":46,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.114,"elongation":82.079},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.114,"opposition_distance":97.921}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"06:04","sunsetLocal":"17:47","solarNoonLocal":"11:56","dayLengthHours":11.718717636562278,"dayLengthDisplay":"11 Hours 43 Mins 07 Secs","nightLengthDisplay":"12 Hours 16 Mins 53 Secs","moonriseLocal":"21:52","moonsetLocal":"14:31","rahuKala":{"name":"Rāhu Kāla","start":"07:32","end":"09:00","startHours":7.5310696143727185,"endHours":8.995909318943003,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:28","end":"11:56","startHours":10.460749023513289,"endHours":11.925588728083573,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:23","end":"14:51","startHours":13.390428432653858,"endHours":14.855268137224144,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:48","end":"09:11","startHours":8.800597358333633,"endHours":9.191221279552375,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:52","startHours":6.554509811325863,"endHours":6.867008948300857,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:19","startHours":11.534964806864831,"endHours":12.316212649302315,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:30","end":"05:17","startHours":4.503734224927464,"endHours":5.284982067364949,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:04","startHours":5.089670106755578,"endHours":6.066229909802434,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:53","end":"14:40","startHours":13.878708334177286,"endHours":14.659956176614772,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:35","end":"17:59","startHours":17.584947546364713,"endHours":17.98494754636471,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:47","end":"18:16","startHours":17.784947546364712,"endHours":18.27322744788814,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:32","end":"19:17","startHours":17.534947546364712,"endHours":19.284947546364712,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:19","startHours":23.53496480686483,"endHours":24.31621264930232,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:04","end":"07:32","startHours":6.066229909802434,"endHours":7.5310696143727185,"quality":"auspicious"},{"name":"Kāla","start":"07:32","end":"09:00","startHours":7.5310696143727185,"endHours":8.995909318943003,"quality":"inauspicious"},{"name":"Śubha","start":"09:00","end":"10:28","startHours":8.995909318943003,"endHours":10.460749023513289,"quality":"auspicious"},{"name":"Roga","start":"10:28","end":"11:56","startHours":10.460749023513289,"endHours":11.925588728083573,"quality":"inauspicious"},{"name":"Udveg","start":"11:56","end":"13:23","startHours":11.925588728083573,"endHours":13.390428432653858,"quality":"inauspicious"},{"name":"Chala","start":"13:23","end":"14:51","startHours":13.390428432653858,"endHours":14.855268137224144,"quality":"neutral"},{"name":"Labha","start":"14:51","end":"16:19","startHours":14.855268137224144,"endHours":16.320107841794428,"quality":"auspicious"},{"name":"Amṛta","start":"16:19","end":"17:47","startHours":16.320107841794428,"endHours":17.784947546364712,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:47","end":"19:19","startHours":17.784947546364712,"endHours":19.320107841794428,"quality":"neutral"},{"name":"Labha","start":"19:19","end":"20:51","startHours":19.320107841794428,"endHours":20.855268137224144,"quality":"auspicious"},{"name":"Amṛta","start":"20:51","end":"22:23","startHours":20.855268137224144,"endHours":22.390428432653856,"quality":"auspicious"},{"name":"Kāla","start":"22:23","end":"23:56","startHours":22.390428432653856,"endHours":23.925588728083575,"quality":"inauspicious"},{"name":"Śubha","start":"23:56","end":"01:28","startHours":23.925588728083575,"endHours":25.460749023513287,"quality":"auspicious"},{"name":"Roga","start":"01:28","end":"03:00","startHours":25.460749023513287,"endHours":26.995909318943003,"quality":"inauspicious"},{"name":"Udveg","start":"03:00","end":"04:32","startHours":26.995909318943003,"endHours":28.53106961437272,"quality":"inauspicious"},{"name":"Chala","start":"04:32","end":"06:04","startHours":28.53106961437272,"endHours":30.066229909802434,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.066229909802434,"endHours":7.066229909802434,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.066229909802434,"endHours":8.066229909802434,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.066229909802434,"endHours":9.066229909802434,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.066229909802434,"endHours":10.066229909802434,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.066229909802434,"endHours":11.066229909802434,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.066229909802434,"endHours":12.066229909802434,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.066229909802434,"endHours":13.066229909802434,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.066229909802434,"endHours":14.066229909802434,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.066229909802434,"endHours":15.066229909802434,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.066229909802434,"endHours":16.066229909802434,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.066229909802434,"endHours":17.066229909802434,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.066229909802434,"endHours":18.066229909802434,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.066229909802434,"endHours":19.066229909802434,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.066229909802434,"endHours":20.066229909802434,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.066229909802434,"endHours":21.066229909802434,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.066229909802434,"endHours":22.066229909802434,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.066229909802434,"endHours":23.066229909802434,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.066229909802434,"endHours":24.066229909802434,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.066229909802434,"endHours":25.066229909802434,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.066229909802434,"endHours":26.066229909802434,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.066229909802434,"endHours":27.066229909802434,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.066229909802434,"endHours":28.066229909802434,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.066229909802434,"endHours":29.066229909802434,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.066229909802434,"endHours":30.066229909802434,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-2.6660984151351492,"eotMinutes":10.844676314985584,"ayanamsa":23.8914}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Navamī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga September 30, 2002 CE · Berlin, Germany · Vidhyamitra","description":"September 30, 2002 CE for Berlin, Germany: Kṛṣṇa Navamī, sūryodaya 06:04, sūryāsta 17:47.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2002-09-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2002-09-30","sa":"https://sa.vidhyamitra.com/city/berlin/2002-09-30","hi":"https://hi.vidhyamitra.com/city/berlin/2002-09-30","x-default":"https://vidhyamitra.com/city/berlin/2002-09-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T13:12:59.138Z","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":"2026-05-31T13:12:59.138Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T13:12:59.138Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}