{"id":"vidhyamitra:city-day:berlin:2029-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2029-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2029-01-31","date_display":"January 31, 2029 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":2029,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462167.770833,"kali_year":5130,"ahargana":1873702.2708,"sun":{"sidereal_longitude":287.1214,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":115.9999,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.8785,"elapsed_within_tithi_degrees":8.8785},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.9999,"elapsed_within_degrees":9.3333},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.1213},"karana":{"half_tithi_index":31,"name":"Kaulava"},"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":2029,"month":1,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2462167.770833,"ahargana":1873702.2708,"kali_year":5130,"ayanamsa_lahiri":24.2593,"grahas":{"sun":{"sidereal_longitude":287.17914199999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":117.89824199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":-2.4991},"mars":{"sidereal_longitude":167.96934199999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":263.42474200000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":182.944342,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":274.08774199999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":10.73494199999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":262.2368,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":82.2368,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","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":2029,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2462167.770833,"kali_year":5130,"ahargana":1873702.2708,"sun":{"sidereal_longitude":287.1214,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":115.9999,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":188.8785,"elapsed_within_tithi_degrees":8.8785},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.9999,"elapsed_within_degrees":9.3333},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":43.1213},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.499,"elongation":171.121},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.499,"opposition_distance":8.879}},"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":"07:50","sunsetLocal":"16:50","solarNoonLocal":"12:20","dayLengthHours":9.002677652729599,"dayLengthDisplay":"9 Hours 00 Mins 10 Secs","nightLengthDisplay":"14 Hours 59 Mins 50 Secs","moonriseLocal":"17:42","moonsetLocal":"08:24","rahuKala":{"name":"Rāhu Kāla","start":"12:20","end":"13:27","startHours":12.331826475697367,"endHours":13.457161182288568,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:57","end":"10:05","startHours":8.955822355923768,"endHours":10.081157062514968,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:12","end":"12:20","startHours":11.206491769106167,"endHours":12.331826475697367,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:56","end":"10:14","startHours":9.931112434969474,"endHours":10.23120169006046,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:12","end":"08:27","startHours":8.205599218196301,"endHours":8.445670622269091,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:38","startHours":12.03173722060638,"endHours":12.631915730788354,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:38","end":"07:14","startHours":6.6301306289686215,"endHours":7.230309139150595,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:05","end":"07:50","startHours":7.080264511605101,"endHours":7.830487649332568,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:50","end":"14:26","startHours":13.8322727511523,"endHours":14.432451261334272,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:38","end":"17:02","startHours":16.633165302062167,"endHours":17.033165302062166,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:50","end":"17:12","startHours":16.833165302062167,"endHours":17.2082768709259,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:35","end":"18:20","startHours":16.583165302062167,"endHours":18.333165302062167,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:38","startHours":24.03173722060638,"endHours":24.631915730788357,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:50","end":"08:57","startHours":7.830487649332568,"endHours":8.955822355923768,"quality":"auspicious"},{"name":"Amṛta","start":"08:57","end":"10:05","startHours":8.955822355923768,"endHours":10.081157062514968,"quality":"auspicious"},{"name":"Kāla","start":"10:05","end":"11:12","startHours":10.081157062514968,"endHours":11.206491769106167,"quality":"inauspicious"},{"name":"Śubha","start":"11:12","end":"12:20","startHours":11.206491769106167,"endHours":12.331826475697367,"quality":"auspicious"},{"name":"Roga","start":"12:20","end":"13:27","startHours":12.331826475697367,"endHours":13.457161182288568,"quality":"inauspicious"},{"name":"Udveg","start":"13:27","end":"14:35","startHours":13.457161182288568,"endHours":14.582495888879766,"quality":"inauspicious"},{"name":"Chala","start":"14:35","end":"15:42","startHours":14.582495888879766,"endHours":15.707830595470966,"quality":"neutral"},{"name":"Labha","start":"15:42","end":"16:50","startHours":15.707830595470966,"endHours":16.833165302062167,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"16:50","end":"18:42","startHours":16.833165302062167,"endHours":18.707830595470966,"quality":"inauspicious"},{"name":"Chala","start":"18:42","end":"20:35","startHours":18.707830595470966,"endHours":20.582495888879766,"quality":"neutral"},{"name":"Labha","start":"20:35","end":"22:27","startHours":20.582495888879766,"endHours":22.457161182288566,"quality":"auspicious"},{"name":"Amṛta","start":"22:27","end":"00:20","startHours":22.457161182288566,"endHours":24.33182647569737,"quality":"auspicious"},{"name":"Kāla","start":"00:20","end":"02:12","startHours":24.33182647569737,"endHours":26.206491769106165,"quality":"inauspicious"},{"name":"Śubha","start":"02:12","end":"04:05","startHours":26.206491769106165,"endHours":28.08115706251497,"quality":"auspicious"},{"name":"Roga","start":"04:05","end":"05:57","startHours":28.08115706251497,"endHours":29.955822355923768,"quality":"inauspicious"},{"name":"Udveg","start":"05:57","end":"07:50","startHours":29.955822355923768,"endHours":31.830487649332568,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:50","end":"08:50","startHours":7.830487649332568,"endHours":8.830487649332568,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:50","end":"09:50","startHours":8.830487649332568,"endHours":9.830487649332568,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:50","end":"10:50","startHours":9.830487649332568,"endHours":10.830487649332568,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:50","end":"11:50","startHours":10.830487649332568,"endHours":11.830487649332568,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:50","end":"12:50","startHours":11.830487649332568,"endHours":12.830487649332568,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:50","end":"13:50","startHours":12.830487649332568,"endHours":13.830487649332568,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:50","end":"14:50","startHours":13.830487649332568,"endHours":14.830487649332568,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:50","end":"15:50","startHours":14.830487649332568,"endHours":15.830487649332568,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:50","end":"16:50","startHours":15.830487649332568,"endHours":16.830487649332568,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:50","end":"17:50","startHours":16.830487649332568,"endHours":17.830487649332568,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:50","end":"18:50","startHours":17.830487649332568,"endHours":18.830487649332568,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:50","end":"19:50","startHours":18.830487649332568,"endHours":19.830487649332568,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:50","end":"20:50","startHours":19.830487649332568,"endHours":20.830487649332568,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:50","end":"21:50","startHours":20.830487649332568,"endHours":21.830487649332568,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:50","end":"22:50","startHours":21.830487649332568,"endHours":22.830487649332568,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:50","end":"23:50","startHours":22.830487649332568,"endHours":23.830487649332568,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:50","end":"00:50","startHours":23.830487649332568,"endHours":24.830487649332568,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:50","end":"01:50","startHours":24.830487649332568,"endHours":25.830487649332568,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:50","end":"02:50","startHours":25.830487649332568,"endHours":26.830487649332568,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:50","end":"03:50","startHours":26.830487649332568,"endHours":27.830487649332568,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:50","end":"04:50","startHours":27.830487649332568,"endHours":28.830487649332568,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:50","end":"05:50","startHours":28.830487649332568,"endHours":29.830487649332568,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:50","end":"06:50","startHours":29.830487649332568,"endHours":30.830487649332568,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:50","end":"07:50","startHours":30.830487649332568,"endHours":31.830487649332568,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-17.347540954412665,"eotMinutes":-13.52958854184206,"ayanamsa":24.2593}},"calendars":{"vikram_samvat":2086,"vikram_samvatsara":"Dundubhi","saka_samvat":1951,"saka_samvatsara":"Saumya","bengali_samvat":1436,"malayalam_era":1205,"nanakshahi_year":560,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pratipada · Vikram 2086 Dundubhi · Śaka 1951 Saumya"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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":[]},"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, 2029 CE · Berlin, Germany · Vidhyamitra","description":"January 31, 2029 CE for Berlin, Germany: Kṛṣṇa Pratipada, sūryodaya 07:50, sūryāsta 16:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2029-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2029-01-31","sa":"https://sa.vidhyamitra.com/city/berlin/2029-01-31","hi":"https://hi.vidhyamitra.com/city/berlin/2029-01-31","x-default":"https://vidhyamitra.com/city/berlin/2029-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T00:29:22.400Z","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":"2026-05-15T00:29:22.400Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T00:29:22.400Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}