{"id":"vidhyamitra:city-day:berlin:2178-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2178-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2178-01-31","date_display":"January 31, 2178 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":2178,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516588.770833,"kali_year":5279,"ahargana":1928123.2708,"sun":{"sidereal_longitude":284.5088,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.7045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.1958,"elapsed_within_tithi_degrees":11.1958},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.7045,"elapsed_within_degrees":1.0379},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.2133},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2178,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2516588.770833,"ahargana":1928123.2708,"kali_year":5279,"ayanamsa_lahiri":26.3407,"grahas":{"sun":{"sidereal_longitude":284.93196,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":66.33645999999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false,"latitude":0.8613},"mars":{"sidereal_longitude":232.63606000000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":297.52595999999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":3.441759999999988,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":299.69355999999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":32.98986000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":258.7503,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":78.7503,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","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":2178,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2516588.770833,"kali_year":5279,"ahargana":1928123.2708,"sun":{"sidereal_longitude":284.5088,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":67.7045,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":143.1958,"elapsed_within_tithi_degrees":11.1958},"nakshatra":{"number":6,"name":"Ārdrā","pada":1,"moon_longitude":67.7045,"elapsed_within_degrees":1.0379},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":352.2133},"karana":{"half_tithi_index":23,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.861,"elongation":143.196},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.861,"opposition_distance":36.804}},"eclipse_window_40days":[{"offset_days":-12,"type":"solar","occurs":true,"moon_latitude":1.2,"elongation":2.654}]},"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":"07:50","sunsetLocal":"16:50","solarNoonLocal":"12:20","dayLengthHours":8.99329576305345,"dayLengthDisplay":"8 Hours 59 Mins 36 Secs","nightLengthDisplay":"15 Hours 00 Mins 24 Secs","moonriseLocal":"13:23","moonsetLocal":"06:08","rahuKala":{"name":"Rāhu Kāla","start":"10:05","end":"11:12","startHours":10.083502534934006,"endHours":11.207664505315687,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:27","end":"14:35","startHours":13.45598844607905,"endHours":14.58015041646073,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:50","end":"08:58","startHours":7.835178594170643,"endHours":8.959340564552324,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:14","startHours":9.933614272216449,"endHours":10.233390797651563,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:13","end":"08:27","startHours":8.209899250964536,"endHours":8.449720471312629,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:38","startHours":12.032049950262252,"endHours":12.631603001132483,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:38","end":"07:14","startHours":6.636072492430183,"endHours":7.235625543300413,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:05","end":"07:50","startHours":7.085737280582856,"endHours":7.835178594170643,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:26","startHours":13.830709102872943,"endHours":14.430262153743172,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:38","end":"17:02","startHours":16.628474357224093,"endHours":17.02847435722409,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:50","end":"17:12","startHours":16.828474357224092,"endHours":17.203195014017986,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:35","end":"18:20","startHours":16.578474357224092,"endHours":18.328474357224092,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:38","startHours":24.032049950262255,"endHours":24.631603001132483,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:50","end":"08:58","startHours":7.835178594170643,"endHours":8.959340564552324,"quality":"inauspicious"},{"name":"Śubha","start":"08:58","end":"10:05","startHours":8.959340564552324,"endHours":10.083502534934006,"quality":"auspicious"},{"name":"Roga","start":"10:05","end":"11:12","startHours":10.083502534934006,"endHours":11.207664505315687,"quality":"inauspicious"},{"name":"Udveg","start":"11:12","end":"12:20","startHours":11.207664505315687,"endHours":12.331826475697369,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:27","startHours":12.331826475697369,"endHours":13.45598844607905,"quality":"neutral"},{"name":"Labha","start":"13:27","end":"14:35","startHours":13.45598844607905,"endHours":14.58015041646073,"quality":"auspicious"},{"name":"Amṛta","start":"14:35","end":"15:42","startHours":14.58015041646073,"endHours":15.70431238684241,"quality":"auspicious"},{"name":"Kāla","start":"15:42","end":"16:50","startHours":15.70431238684241,"endHours":16.828474357224092,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"16:50","end":"18:42","startHours":16.828474357224092,"endHours":18.70431238684241,"quality":"auspicious"},{"name":"Amṛta","start":"18:42","end":"20:35","startHours":18.70431238684241,"endHours":20.58015041646073,"quality":"auspicious"},{"name":"Kāla","start":"20:35","end":"22:27","startHours":20.58015041646073,"endHours":22.455988446079047,"quality":"inauspicious"},{"name":"Śubha","start":"22:27","end":"00:20","startHours":22.455988446079047,"endHours":24.33182647569737,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"02:12","startHours":24.33182647569737,"endHours":26.207664505315684,"quality":"inauspicious"},{"name":"Udveg","start":"02:12","end":"04:05","startHours":26.207664505315684,"endHours":28.083502534934006,"quality":"inauspicious"},{"name":"Chala","start":"04:05","end":"05:58","startHours":28.083502534934006,"endHours":29.959340564552324,"quality":"neutral"},{"name":"Labha","start":"05:58","end":"07:50","startHours":29.959340564552324,"endHours":31.835178594170642,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:50","end":"08:50","startHours":7.835178594170643,"endHours":8.835178594170642,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:50","end":"09:50","startHours":8.835178594170642,"endHours":9.835178594170642,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:50","end":"10:50","startHours":9.835178594170642,"endHours":10.835178594170642,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:50","end":"11:50","startHours":10.835178594170642,"endHours":11.835178594170642,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:50","end":"12:50","startHours":11.835178594170642,"endHours":12.835178594170642,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:50","end":"13:50","startHours":12.835178594170642,"endHours":13.835178594170642,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:50","end":"14:50","startHours":13.835178594170642,"endHours":14.835178594170642,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:50","end":"15:50","startHours":14.835178594170642,"endHours":15.835178594170642,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:50","end":"16:50","startHours":15.835178594170642,"endHours":16.835178594170642,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:50","end":"17:50","startHours":16.835178594170642,"endHours":17.835178594170642,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:50","end":"18:50","startHours":17.835178594170642,"endHours":18.835178594170642,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:50","end":"19:50","startHours":18.835178594170642,"endHours":19.835178594170642,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:50","end":"20:50","startHours":19.835178594170642,"endHours":20.835178594170642,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:50","end":"21:50","startHours":20.835178594170642,"endHours":21.835178594170642,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:50","end":"22:50","startHours":21.835178594170642,"endHours":22.835178594170642,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:50","end":"23:50","startHours":22.835178594170642,"endHours":23.835178594170642,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:50","end":"00:50","startHours":23.835178594170642,"endHours":24.835178594170642,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:50","end":"01:50","startHours":24.835178594170642,"endHours":25.835178594170642,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:50","end":"02:50","startHours":25.835178594170642,"endHours":26.835178594170642,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:50","end":"03:50","startHours":26.835178594170642,"endHours":27.835178594170642,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:50","end":"04:50","startHours":27.835178594170642,"endHours":28.835178594170642,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:50","end":"05:50","startHours":28.835178594170642,"endHours":29.835178594170642,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:50","end":"06:50","startHours":29.835178594170642,"endHours":30.835178594170642,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:50","end":"07:50","startHours":30.835178594170642,"endHours":31.835178594170642,"planetary_lord":"Mercury"}],"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":"East","anandadiYoga":{"name":"Kāladaṇḍa","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":-17.39318919388743,"eotMinutes":-13.52958854184206,"ayanamsa":26.3407}},"calendars":{"vikram_samvat":2235,"vikram_samvatsara":"Khara","saka_samvat":2100,"saka_samvatsara":"Bahudhānya","bengali_samvat":1585,"malayalam_era":1354,"nanakshahi_year":709,"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 Dvādaśī · Vikram 2235 Khara · Śaka 2100 Bahudhānya"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 31, 2178 CE · Berlin, Germany · Vidhyamitra","description":"January 31, 2178 CE for Berlin, Germany: Śukla Dvādaśī, sūryodaya 07:50, sūryāsta 16:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2178-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2178-01-31","sa":"https://sa.vidhyamitra.com/city/berlin/2178-01-31","hi":"https://hi.vidhyamitra.com/city/berlin/2178-01-31","x-default":"https://vidhyamitra.com/city/berlin/2178-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T16:54:12.476Z","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":"2026-06-03T16:54:12.476Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T16:54:12.476Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}