{"id":"vidhyamitra:city-day:berlin:2162-09-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2162-09-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-09-01","date_display":"September 1, 2162 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":2162,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510957.770833,"kali_year":5264,"ahargana":1922492.2708,"sun":{"sidereal_longitude":131.5548,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":34.7786,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.2238,"elapsed_within_tithi_degrees":11.2238},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.7786,"elapsed_within_degrees":8.1119},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.3334},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2162,"month":9,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510957.770833,"ahargana":1922492.2708,"kali_year":5264,"ayanamsa_lahiri":26.1253,"grahas":{"sun":{"sidereal_longitude":132.627406,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":32.92580600000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-1.3647},"mars":{"sidereal_longitude":137.175206,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":116.29450600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":250.15810599999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"venus":{"sidereal_longitude":149.81260600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"saturn":{"sidereal_longitude":210.40460600000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":197.1078,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":17.1078,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2162,"month":9,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510957.770833,"kali_year":5264,"ahargana":1922492.2708,"sun":{"sidereal_longitude":131.5548,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":34.7786,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":22,"name":"Saptamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Saptamī","elongation_degrees":263.2238,"elapsed_within_tithi_degrees":11.2238},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3,"moon_longitude":34.7786,"elapsed_within_degrees":8.1119},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.3334},"karana":{"half_tithi_index":43,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.365,"elongation":96.776},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.365,"opposition_distance":83.224}},"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":"05:16","sunsetLocal":"18:55","solarNoonLocal":"12:06","dayLengthHours":13.648405904344767,"dayLengthDisplay":"13 Hours 38 Mins 54 Secs","nightLengthDisplay":"10 Hours 21 Mins 06 Secs","moonriseLocal":"21:29","moonsetLocal":"13:25","rahuKala":{"name":"Rāhu Kāla","start":"12:06","end":"13:48","startHours":12.098399703148779,"endHours":13.804450441191875,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:59","end":"08:41","startHours":6.98024748901949,"endHours":8.686298227062586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:24","end":"12:06","startHours":10.392348965105683,"endHours":12.098399703148779,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:28","end":"08:55","startHours":8.458824795323507,"endHours":8.913771658801666,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:12","startHours":5.8428803303240935,"endHours":6.206837821106621,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:33","startHours":11.643452839670617,"endHours":12.553346566626937,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:27","end":"04:22","startHours":3.4544092970637594,"endHours":4.364303024020077,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:08","end":"05:16","startHours":4.136829592280997,"endHours":5.274196750976395,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:22","end":"15:17","startHours":14.373134020539574,"endHours":15.283027747495892,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:43","end":"19:07","startHours":18.72260265532116,"endHours":19.12260265532116,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:55","end":"19:29","startHours":18.92260265532116,"endHours":19.49128623466886,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:40","end":"20:25","startHours":18.67260265532116,"endHours":20.42260265532116,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:33","startHours":23.64345283967062,"endHours":24.55334656662694,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:16","end":"06:59","startHours":5.274196750976395,"endHours":6.98024748901949,"quality":"auspicious"},{"name":"Amṛta","start":"06:59","end":"08:41","startHours":6.98024748901949,"endHours":8.686298227062586,"quality":"auspicious"},{"name":"Kāla","start":"08:41","end":"10:24","startHours":8.686298227062586,"endHours":10.392348965105683,"quality":"inauspicious"},{"name":"Śubha","start":"10:24","end":"12:06","startHours":10.392348965105683,"endHours":12.098399703148779,"quality":"auspicious"},{"name":"Roga","start":"12:06","end":"13:48","startHours":12.098399703148779,"endHours":13.804450441191875,"quality":"inauspicious"},{"name":"Udveg","start":"13:48","end":"15:31","startHours":13.804450441191875,"endHours":15.510501179234968,"quality":"inauspicious"},{"name":"Chala","start":"15:31","end":"17:13","startHours":15.510501179234968,"endHours":17.216551917278064,"quality":"neutral"},{"name":"Labha","start":"17:13","end":"18:55","startHours":17.216551917278064,"endHours":18.92260265532116,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:55","end":"20:13","startHours":18.92260265532116,"endHours":20.216551917278064,"quality":"inauspicious"},{"name":"Chala","start":"20:13","end":"21:31","startHours":20.216551917278064,"endHours":21.510501179234968,"quality":"neutral"},{"name":"Labha","start":"21:31","end":"22:48","startHours":21.510501179234968,"endHours":22.80445044119187,"quality":"auspicious"},{"name":"Amṛta","start":"22:48","end":"00:06","startHours":22.80445044119187,"endHours":24.09839970314878,"quality":"auspicious"},{"name":"Kāla","start":"00:06","end":"01:24","startHours":24.09839970314878,"endHours":25.392348965105683,"quality":"inauspicious"},{"name":"Śubha","start":"01:24","end":"02:41","startHours":25.392348965105683,"endHours":26.686298227062586,"quality":"auspicious"},{"name":"Roga","start":"02:41","end":"03:59","startHours":26.686298227062586,"endHours":27.98024748901949,"quality":"inauspicious"},{"name":"Udveg","start":"03:59","end":"05:16","startHours":27.98024748901949,"endHours":29.274196750976394,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.274196750976395,"endHours":6.274196750976395,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.274196750976395,"endHours":7.274196750976395,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.274196750976395,"endHours":8.274196750976394,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.274196750976394,"endHours":9.274196750976394,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.274196750976394,"endHours":10.274196750976394,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.274196750976394,"endHours":11.274196750976394,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.274196750976394,"endHours":12.274196750976394,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.274196750976394,"endHours":13.274196750976394,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.274196750976394,"endHours":14.274196750976394,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.274196750976394,"endHours":15.274196750976394,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.274196750976394,"endHours":16.274196750976394,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.274196750976394,"endHours":17.274196750976394,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.274196750976394,"endHours":18.274196750976394,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.274196750976394,"endHours":19.274196750976394,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.274196750976394,"endHours":20.274196750976394,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.274196750976394,"endHours":21.274196750976394,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.274196750976394,"endHours":22.274196750976394,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.274196750976394,"endHours":23.274196750976394,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.274196750976394,"endHours":24.274196750976394,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.274196750976394,"endHours":25.274196750976394,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.274196750976394,"endHours":26.274196750976394,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.274196750976394,"endHours":27.274196750976394,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.274196750976394,"endHours":28.274196750976394,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.274196750976394,"endHours":29.274196750976394,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":8.287242293082397,"eotMinutes":0.47601781107335894,"ayanamsa":26.1253}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Saptamī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"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 1, 2162 CE · Berlin, Germany · Vidhyamitra","description":"September 1, 2162 CE for Berlin, Germany: Kṛṣṇa Saptamī, sūryodaya 05:16, sūryāsta 18:55.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2162-09-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2162-09-01","sa":"https://sa.vidhyamitra.com/city/berlin/2162-09-01","hi":"https://hi.vidhyamitra.com/city/berlin/2162-09-01","x-default":"https://vidhyamitra.com/city/berlin/2162-09-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T09:26:03.809Z","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":"2026-06-02T09:26:03.809Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T09:26:03.809Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}