{"id":"vidhyamitra:city-day:berlin:2103-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2103-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2103-01-29","date_display":"January 29, 2103 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":2103,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489192.770833,"kali_year":5204,"ahargana":1900727.2708,"sun":{"sidereal_longitude":282.8782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":169.6454,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7672,"elapsed_within_tithi_degrees":6.7672},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.6454,"elapsed_within_degrees":9.6454},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.5235},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":2103,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489192.770833,"ahargana":1900727.2708,"kali_year":5204,"ayanamsa_lahiri":25.2929,"grahas":{"sun":{"sidereal_longitude":283.137389,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":165.80558900000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.4219},"mars":{"sidereal_longitude":262.509189,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":262.8326890000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":257.0343889999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":310.823989,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":214.16518900000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":270.3223,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.3223,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":2103,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489192.770833,"kali_year":5204,"ahargana":1900727.2708,"sun":{"sidereal_longitude":282.8782,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":169.6454,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":246.7672,"elapsed_within_tithi_degrees":6.7672},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.6454,"elapsed_within_degrees":9.6454},"yoga":{"number":7,"name":"Sukarma","sum_longitude":92.5235},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.422,"elongation":113.233},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.422,"opposition_distance":66.767}},"eclipse_window_40days":[{"offset_days":-20,"type":"solar","occurs":true,"moon_latitude":-0.501,"elongation":2.631},{"offset_days":-6,"type":"lunar","occurs":true,"moon_latitude":-0.361,"opposition_distance":1.481}]},"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":"07:54","sunsetLocal":"16:45","solarNoonLocal":"12:20","dayLengthHours":8.835550566416206,"dayLengthDisplay":"8 Hours 50 Mins 08 Secs","nightLengthDisplay":"15 Hours 09 Mins 52 Secs","moonriseLocal":"22:49","moonsetLocal":"10:11","rahuKala":{"name":"Rāhu Kāla","start":"09:01","end":"10:07","startHours":9.01253723713916,"endHours":10.116981057941185,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:13","end":"12:20","startHours":11.221424878743212,"endHours":12.325868699545238,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:32","startHours":13.430312520347263,"endHours":14.53475634114929,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:58","end":"10:16","startHours":9.96972188183425,"endHours":10.264240234048122,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:17","end":"08:31","startHours":8.276241356604476,"endHours":8.511856038375575,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:37","startHours":12.031350347331363,"endHours":12.620387051759112,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:44","end":"07:19","startHours":6.730020007481641,"endHours":7.319056711909387,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:10","end":"07:54","startHours":7.171797535802451,"endHours":7.908093416337135,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:23","startHours":13.798460460614605,"endHours":14.387497165042351,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:33","end":"16:57","startHours":16.54364398275334,"endHours":16.94364398275334,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:45","end":"17:07","startHours":16.74364398275334,"endHours":17.111791923020682,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:30","end":"18:15","startHours":16.49364398275334,"endHours":18.24364398275334,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:37","startHours":24.031350347331365,"endHours":24.620387051759113,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:54","end":"09:01","startHours":7.908093416337135,"endHours":9.01253723713916,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:07","startHours":9.01253723713916,"endHours":10.116981057941185,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:13","startHours":10.116981057941185,"endHours":11.221424878743212,"quality":"auspicious"},{"name":"Roga","start":"11:13","end":"12:20","startHours":11.221424878743212,"endHours":12.325868699545238,"quality":"inauspicious"},{"name":"Udveg","start":"12:20","end":"13:26","startHours":12.325868699545238,"endHours":13.430312520347263,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:32","startHours":13.430312520347263,"endHours":14.53475634114929,"quality":"neutral"},{"name":"Labha","start":"14:32","end":"15:38","startHours":14.53475634114929,"endHours":15.639200161951315,"quality":"auspicious"},{"name":"Amṛta","start":"15:38","end":"16:45","startHours":15.639200161951315,"endHours":16.74364398275334,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:45","end":"18:38","startHours":16.74364398275334,"endHours":18.639200161951315,"quality":"neutral"},{"name":"Labha","start":"18:38","end":"20:32","startHours":18.639200161951315,"endHours":20.53475634114929,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"22:26","startHours":20.53475634114929,"endHours":22.430312520347265,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"00:20","startHours":22.430312520347265,"endHours":24.32586869954524,"quality":"inauspicious"},{"name":"Śubha","start":"00:20","end":"02:13","startHours":24.32586869954524,"endHours":26.221424878743214,"quality":"auspicious"},{"name":"Roga","start":"02:13","end":"04:07","startHours":26.221424878743214,"endHours":28.116981057941185,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"06:01","startHours":28.116981057941185,"endHours":30.01253723713916,"quality":"inauspicious"},{"name":"Chala","start":"06:01","end":"07:54","startHours":30.01253723713916,"endHours":31.908093416337135,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:54","end":"08:54","startHours":7.908093416337135,"endHours":8.908093416337135,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:54","end":"09:54","startHours":8.908093416337135,"endHours":9.908093416337135,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:54","end":"10:54","startHours":9.908093416337135,"endHours":10.908093416337135,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:54","end":"11:54","startHours":10.908093416337135,"endHours":11.908093416337135,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:54","end":"12:54","startHours":11.908093416337135,"endHours":12.908093416337135,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:54","end":"13:54","startHours":12.908093416337135,"endHours":13.908093416337135,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:54","end":"14:54","startHours":13.908093416337135,"endHours":14.908093416337135,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:54","end":"15:54","startHours":14.908093416337135,"endHours":15.908093416337135,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:54","end":"16:54","startHours":15.908093416337135,"endHours":16.908093416337135,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:54","end":"17:54","startHours":16.908093416337135,"endHours":17.908093416337135,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:54","end":"18:54","startHours":17.908093416337135,"endHours":18.908093416337135,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:54","end":"19:54","startHours":18.908093416337135,"endHours":19.908093416337135,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:54","end":"20:54","startHours":19.908093416337135,"endHours":20.908093416337135,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:54","end":"21:54","startHours":20.908093416337135,"endHours":21.908093416337135,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:54","end":"22:54","startHours":21.908093416337135,"endHours":22.908093416337135,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:54","end":"23:54","startHours":22.908093416337135,"endHours":23.908093416337135,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:54","end":"00:54","startHours":23.908093416337135,"endHours":24.908093416337135,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:54","end":"01:54","startHours":24.908093416337135,"endHours":25.908093416337135,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:54","end":"02:54","startHours":25.908093416337135,"endHours":26.908093416337135,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:54","end":"03:54","startHours":26.908093416337135,"endHours":27.908093416337135,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:54","end":"04:54","startHours":27.908093416337135,"endHours":28.908093416337135,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:54","end":"05:54","startHours":28.908093416337135,"endHours":29.908093416337135,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:54","end":"06:54","startHours":29.908093416337135,"endHours":30.908093416337135,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:54","end":"07:54","startHours":30.908093416337135,"endHours":31.908093416337135,"planetary_lord":"Venus"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.153852332852416,"eotMinutes":-13.172121972714217,"ayanamsa":25.2929}},"calendars":{"vikram_samvat":2160,"vikram_samvatsara":"Dhātṛ","saka_samvat":2025,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1510,"malayalam_era":1279,"nanakshahi_year":634,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","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":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ṣaṣṭhī · Vikram 2160 Dhātṛ · Śaka 2025 Rudhirodgāri"},"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 January 29, 2103 CE · Berlin, Germany · Vidhyamitra","description":"January 29, 2103 CE for Berlin, Germany: Kṛṣṇa Ṣaṣṭhī, sūryodaya 07:54, sūryāsta 16:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2103-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2103-01-29","sa":"https://sa.vidhyamitra.com/city/berlin/2103-01-29","hi":"https://hi.vidhyamitra.com/city/berlin/2103-01-29","x-default":"https://vidhyamitra.com/city/berlin/2103-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T03:23:54.978Z","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":"2026-06-01T03:23:54.978Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T03:23:54.978Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}