{"id":"vidhyamitra:city-day:berlin:2129-01-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2129-01-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-01-21","date_display":"January 21, 2129 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":2129,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498681.770833,"kali_year":5230,"ahargana":1910216.2708,"sun":{"sidereal_longitude":274.9581,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":282.9779,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.0198,"elapsed_within_tithi_degrees":8.0198},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9779,"elapsed_within_degrees":2.9779},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.936},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2129,"month":1,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498681.770833,"ahargana":1910216.2708,"kali_year":5230,"ayanamsa_lahiri":25.6558,"grahas":{"sun":{"sidereal_longitude":275.338439,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":284.20683899999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false,"latitude":1.8696},"mars":{"sidereal_longitude":214.08713899999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":250.01193899999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":315.671839,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":310.83593900000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":174.72253899999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":127.5494,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":307.5494,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","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":2129,"month":1,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498681.770833,"kali_year":5230,"ahargana":1910216.2708,"sun":{"sidereal_longitude":274.9581,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":282.9779,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":8.0198,"elapsed_within_tithi_degrees":8.0198},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1,"moon_longitude":282.9779,"elapsed_within_degrees":2.9779},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.936},"karana":{"half_tithi_index":1,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.87,"elongation":8.02},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.87,"opposition_distance":171.98}},"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":"08:04","sunsetLocal":"16:31","solarNoonLocal":"12:18","dayLengthHours":8.454926523949375,"dayLengthDisplay":"8 Hours 27 Mins 18 Secs","nightLengthDisplay":"15 Hours 32 Mins 42 Secs","moonriseLocal":"08:28","moonsetLocal":"17:19","rahuKala":{"name":"Rāhu Kāla","start":"11:14","end":"12:18","startHours":11.23706303865853,"endHours":12.293928854152202,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:24","end":"15:28","startHours":14.407660485139546,"endHours":15.464526300633217,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:07","end":"10:11","startHours":9.123331407671188,"endHours":10.180197223164859,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:02","end":"10:19","startHours":10.039281781099035,"endHours":10.321112665230682,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:25","end":"08:39","startHours":8.418754197342071,"endHours":8.644218904647389,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:35","startHours":12.012097970020557,"endHours":12.575759738283848,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:56","end":"07:30","startHours":6.939142055650931,"endHours":7.502803823914223,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:22","end":"08:04","startHours":7.3618883818484,"endHours":8.066465592177515,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:16","startHours":13.703083274810432,"endHours":14.266745043073723,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:19","end":"16:43","startHours":16.32139211612689,"endHours":16.72139211612689,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:31","end":"16:52","startHours":16.52139211612689,"endHours":16.873680721291446,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:16","end":"18:01","startHours":16.27139211612689,"endHours":18.02139211612689,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:35","startHours":24.012097970020555,"endHours":24.57575973828385,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:04","end":"09:07","startHours":8.066465592177515,"endHours":9.123331407671188,"quality":"neutral"},{"name":"Labha","start":"09:07","end":"10:11","startHours":9.123331407671188,"endHours":10.180197223164859,"quality":"auspicious"},{"name":"Amṛta","start":"10:11","end":"11:14","startHours":10.180197223164859,"endHours":11.23706303865853,"quality":"auspicious"},{"name":"Kāla","start":"11:14","end":"12:18","startHours":11.23706303865853,"endHours":12.293928854152202,"quality":"inauspicious"},{"name":"Śubha","start":"12:18","end":"13:21","startHours":12.293928854152202,"endHours":13.350794669645875,"quality":"auspicious"},{"name":"Roga","start":"13:21","end":"14:24","startHours":13.350794669645875,"endHours":14.407660485139546,"quality":"inauspicious"},{"name":"Udveg","start":"14:24","end":"15:28","startHours":14.407660485139546,"endHours":15.464526300633217,"quality":"inauspicious"},{"name":"Chala","start":"15:28","end":"16:31","startHours":15.464526300633217,"endHours":16.52139211612689,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:31","end":"18:28","startHours":16.52139211612689,"endHours":18.464526300633217,"quality":"inauspicious"},{"name":"Udveg","start":"18:28","end":"20:24","startHours":18.464526300633217,"endHours":20.407660485139544,"quality":"inauspicious"},{"name":"Chala","start":"20:24","end":"22:21","startHours":20.407660485139544,"endHours":22.350794669645875,"quality":"neutral"},{"name":"Labha","start":"22:21","end":"00:18","startHours":22.350794669645875,"endHours":24.293928854152202,"quality":"auspicious"},{"name":"Amṛta","start":"00:18","end":"02:14","startHours":24.293928854152202,"endHours":26.23706303865853,"quality":"auspicious"},{"name":"Kāla","start":"02:14","end":"04:11","startHours":26.23706303865853,"endHours":28.18019722316486,"quality":"inauspicious"},{"name":"Śubha","start":"04:11","end":"06:07","startHours":28.18019722316486,"endHours":30.123331407671188,"quality":"auspicious"},{"name":"Roga","start":"06:07","end":"08:04","startHours":30.123331407671188,"endHours":32.066465592177515,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:04","end":"09:04","startHours":8.066465592177515,"endHours":9.066465592177515,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:04","end":"10:04","startHours":9.066465592177515,"endHours":10.066465592177515,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:04","end":"11:04","startHours":10.066465592177515,"endHours":11.066465592177515,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:04","end":"12:04","startHours":11.066465592177515,"endHours":12.066465592177515,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:04","end":"13:04","startHours":12.066465592177515,"endHours":13.066465592177515,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:04","end":"14:04","startHours":13.066465592177515,"endHours":14.066465592177515,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:04","end":"15:04","startHours":14.066465592177515,"endHours":15.066465592177515,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:04","end":"16:04","startHours":15.066465592177515,"endHours":16.066465592177515,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:04","end":"17:04","startHours":16.066465592177515,"endHours":17.066465592177515,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:04","end":"18:04","startHours":17.066465592177515,"endHours":18.066465592177515,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:04","end":"19:04","startHours":18.066465592177515,"endHours":19.066465592177515,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:04","end":"20:04","startHours":19.066465592177515,"endHours":20.066465592177515,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:04","end":"21:04","startHours":20.066465592177515,"endHours":21.066465592177515,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:04","end":"22:04","startHours":21.066465592177515,"endHours":22.066465592177515,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:04","end":"23:04","startHours":22.066465592177515,"endHours":23.066465592177515,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:04","end":"00:04","startHours":23.066465592177515,"endHours":24.066465592177515,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:04","end":"01:04","startHours":24.066465592177515,"endHours":25.066465592177515,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:04","end":"02:04","startHours":25.066465592177515,"endHours":26.066465592177515,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:04","end":"03:04","startHours":26.066465592177515,"endHours":27.066465592177515,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:04","end":"04:04","startHours":27.066465592177515,"endHours":28.066465592177515,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:04","end":"05:04","startHours":28.066465592177515,"endHours":29.066465592177515,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:04","end":"06:04","startHours":29.066465592177515,"endHours":30.066465592177515,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:04","end":"07:04","startHours":30.066465592177515,"endHours":31.066465592177515,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:04","end":"08:04","startHours":31.066465592177515,"endHours":32.066465592177515,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"South-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-19.934389273697267,"eotMinutes":-11.255731249132124,"ayanamsa":25.6558}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 January 21, 2129 CE · Berlin, Germany · Vidhyamitra","description":"January 21, 2129 CE for Berlin, Germany: Śukla Pratipada, sūryodaya 08:04, sūryāsta 16:31.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2129-01-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2129-01-21","sa":"https://sa.vidhyamitra.com/city/berlin/2129-01-21","hi":"https://hi.vidhyamitra.com/city/berlin/2129-01-21","x-default":"https://vidhyamitra.com/city/berlin/2129-01-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T06:20:56.408Z","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":"2026-06-03T06:20:56.408Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T06:20:56.408Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}