{"id":"vidhyamitra:city-day:berlin:2152-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2152-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2152-01-20","date_display":"January 20, 2152 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":2152,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507080.770833,"kali_year":5253,"ahargana":1918615.2708,"sun":{"sidereal_longitude":272.9556,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":64.8997,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.9441,"elapsed_within_tithi_degrees":7.9441},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.8997,"elapsed_within_degrees":11.5663},"yoga":{"number":26,"name":"Indra","sum_longitude":337.8552},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2152,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2507080.770833,"ahargana":1918615.2708,"kali_year":5253,"ayanamsa_lahiri":25.977,"grahas":{"sun":{"sidereal_longitude":273.405836,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":64.898436,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":1.7111},"mars":{"sidereal_longitude":267.317136,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":282.60093600000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":294.390536,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":246.550436,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":84.62343599999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":42.5299,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.5299,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"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":2152,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2507080.770833,"kali_year":5253,"ahargana":1918615.2708,"sun":{"sidereal_longitude":272.9556,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":64.8997,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":151.9441,"elapsed_within_tithi_degrees":7.9441},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":64.8997,"elapsed_within_degrees":11.5663},"yoga":{"number":26,"name":"Indra","sum_longitude":337.8552},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.711,"elongation":151.944},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.711,"opposition_distance":28.056}},"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":"08:06","sunsetLocal":"16:29","solarNoonLocal":"12:17","dayLengthHours":8.379540113059335,"dayLengthDisplay":"8 Hours 22 Mins 46 Secs","nightLengthDisplay":"15 Hours 37 Mins 14 Secs","moonriseLocal":"14:01","moonsetLocal":"06:46","rahuKala":{"name":"Rāhu Kāla","start":"13:20","end":"14:23","startHours":13.336514236419571,"endHours":14.383956750551988,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:06","end":"09:09","startHours":8.099301665757487,"endHours":9.146744179889904,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:12","end":"11:14","startHours":10.19418669402232,"endHours":11.241629208154738,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:03","end":"10:20","startHours":10.054527692137999,"endHours":10.333845695906643,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:27","end":"08:40","startHours":8.448449170468292,"endHours":8.671903573483208,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:34","startHours":12.00975371851851,"endHours":12.568389726055798,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:59","end":"07:32","startHours":6.982029650682909,"endHours":7.540665658220198,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:24","end":"08:06","startHours":7.401006656335876,"endHours":8.099301665757487,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:41","end":"14:15","startHours":13.685661741130378,"endHours":14.244297748667668,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:17","end":"16:41","startHours":16.278841778816822,"endHours":16.67884177881682,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:29","end":"16:50","startHours":16.47884177881682,"endHours":16.82798928352763,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:14","end":"17:59","startHours":16.22884177881682,"endHours":17.97884177881682,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:34","startHours":24.00975371851851,"endHours":24.5683897260558,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"08:06","end":"09:09","startHours":8.099301665757487,"endHours":9.146744179889904,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:12","startHours":9.146744179889904,"endHours":10.19418669402232,"quality":"inauspicious"},{"name":"Udveg","start":"10:12","end":"11:14","startHours":10.19418669402232,"endHours":11.241629208154738,"quality":"inauspicious"},{"name":"Chala","start":"11:14","end":"12:17","startHours":11.241629208154738,"endHours":12.289071722287154,"quality":"neutral"},{"name":"Labha","start":"12:17","end":"13:20","startHours":12.289071722287154,"endHours":13.336514236419571,"quality":"auspicious"},{"name":"Amṛta","start":"13:20","end":"14:23","startHours":13.336514236419571,"endHours":14.383956750551988,"quality":"auspicious"},{"name":"Kāla","start":"14:23","end":"15:26","startHours":14.383956750551988,"endHours":15.431399264684405,"quality":"inauspicious"},{"name":"Śubha","start":"15:26","end":"16:29","startHours":15.431399264684405,"endHours":16.47884177881682,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"16:29","end":"18:26","startHours":16.47884177881682,"endHours":18.431399264684405,"quality":"auspicious"},{"name":"Kāla","start":"18:26","end":"20:23","startHours":18.431399264684405,"endHours":20.383956750551988,"quality":"inauspicious"},{"name":"Śubha","start":"20:23","end":"22:20","startHours":20.383956750551988,"endHours":22.33651423641957,"quality":"auspicious"},{"name":"Roga","start":"22:20","end":"00:17","startHours":22.33651423641957,"endHours":24.289071722287154,"quality":"inauspicious"},{"name":"Udveg","start":"00:17","end":"02:14","startHours":24.289071722287154,"endHours":26.241629208154738,"quality":"inauspicious"},{"name":"Chala","start":"02:14","end":"04:12","startHours":26.241629208154738,"endHours":28.19418669402232,"quality":"neutral"},{"name":"Labha","start":"04:12","end":"06:09","startHours":28.19418669402232,"endHours":30.146744179889904,"quality":"auspicious"},{"name":"Amṛta","start":"06:09","end":"08:06","startHours":30.146744179889904,"endHours":32.09930166575749,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:06","end":"09:06","startHours":8.099301665757487,"endHours":9.099301665757487,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"09:06","end":"10:06","startHours":9.099301665757487,"endHours":10.099301665757487,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"10:06","end":"11:06","startHours":10.099301665757487,"endHours":11.099301665757487,"planetary_lord":"Moon"},{"name":"Hora 4","start":"11:06","end":"12:06","startHours":11.099301665757487,"endHours":12.099301665757487,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"12:06","end":"13:06","startHours":12.099301665757487,"endHours":13.099301665757487,"planetary_lord":"Venus"},{"name":"Hora 6","start":"13:06","end":"14:06","startHours":13.099301665757487,"endHours":14.099301665757487,"planetary_lord":"Sun"},{"name":"Hora 7","start":"14:06","end":"15:06","startHours":14.099301665757487,"endHours":15.099301665757487,"planetary_lord":"Mars"},{"name":"Hora 8","start":"15:06","end":"16:06","startHours":15.099301665757487,"endHours":16.099301665757487,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"16:06","end":"17:06","startHours":16.099301665757487,"endHours":17.099301665757487,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"17:06","end":"18:06","startHours":17.099301665757487,"endHours":18.099301665757487,"planetary_lord":"Moon"},{"name":"Hora 11","start":"18:06","end":"19:06","startHours":18.099301665757487,"endHours":19.099301665757487,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"19:06","end":"20:06","startHours":19.099301665757487,"endHours":20.099301665757487,"planetary_lord":"Venus"},{"name":"Hora 13","start":"20:06","end":"21:06","startHours":20.099301665757487,"endHours":21.099301665757487,"planetary_lord":"Sun"},{"name":"Hora 14","start":"21:06","end":"22:06","startHours":21.099301665757487,"endHours":22.099301665757487,"planetary_lord":"Mars"},{"name":"Hora 15","start":"22:06","end":"23:06","startHours":22.099301665757487,"endHours":23.099301665757487,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"23:06","end":"00:06","startHours":23.099301665757487,"endHours":24.099301665757487,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"00:06","end":"01:06","startHours":24.099301665757487,"endHours":25.099301665757487,"planetary_lord":"Moon"},{"name":"Hora 18","start":"01:06","end":"02:06","startHours":25.099301665757487,"endHours":26.099301665757487,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"02:06","end":"03:06","startHours":26.099301665757487,"endHours":27.099301665757487,"planetary_lord":"Venus"},{"name":"Hora 20","start":"03:06","end":"04:06","startHours":27.099301665757487,"endHours":28.099301665757487,"planetary_lord":"Sun"},{"name":"Hora 21","start":"04:06","end":"05:06","startHours":28.099301665757487,"endHours":29.099301665757487,"planetary_lord":"Mars"},{"name":"Hora 22","start":"05:06","end":"06:06","startHours":29.099301665757487,"endHours":30.099301665757487,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"06:06","end":"07:06","startHours":30.099301665757487,"endHours":31.099301665757487,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"07:06","end":"08:06","startHours":31.099301665757487,"endHours":32.09930166575749,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.277571542264145,"eotMinutes":-10.9643033372293,"ayanamsa":25.977}},"calendars":{"vikram_samvat":2209,"vikram_samvatsara":"Krodhana","saka_samvat":2074,"saka_samvatsara":"Paridhāvi","bengali_samvat":1559,"malayalam_era":1328,"nanakshahi_year":683,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2209 Krodhana · Śaka 2074 Paridhāvi"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 20, 2152 CE · Berlin, Germany · Vidhyamitra","description":"January 20, 2152 CE for Berlin, Germany: Śukla Trayodaśī, sūryodaya 08:06, sūryāsta 16:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2152-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2152-01-20","sa":"https://sa.vidhyamitra.com/city/berlin/2152-01-20","hi":"https://hi.vidhyamitra.com/city/berlin/2152-01-20","x-default":"https://vidhyamitra.com/city/berlin/2152-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:45:46.652Z","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":"2026-06-01T08:45:46.652Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:45:46.652Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}