{"id":"vidhyamitra:city-day:berlin:2159-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2159-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-01-29","date_display":"January 29, 2159 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":2159,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509646.770833,"kali_year":5260,"ahargana":1921181.2708,"sun":{"sidereal_longitude":282.3762,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":40.1369,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.7607,"elapsed_within_tithi_degrees":9.7607},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.1369,"elapsed_within_degrees":0.1369},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.513},"karana":{"half_tithi_index":19,"name":"Gara"},"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":2159,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509646.770833,"ahargana":1921181.2708,"kali_year":5260,"ayanamsa_lahiri":26.0752,"grahas":{"sun":{"sidereal_longitude":282.77059600000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":38.212095999999974,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false,"latitude":3.259},"mars":{"sidereal_longitude":205.22539600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":299.008196,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":166.45799599999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"venus":{"sidereal_longitude":313.57089599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":180.874596,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":266.5709,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":86.5709,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"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":2159,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509646.770833,"kali_year":5260,"ahargana":1921181.2708,"sun":{"sidereal_longitude":282.3762,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":40.1369,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":10,"name":"Daśamī","paksha":"Śukla","full_name":"Śukla Daśamī","elongation_degrees":117.7607,"elapsed_within_tithi_degrees":9.7607},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1,"moon_longitude":40.1369,"elapsed_within_degrees":0.1369},"yoga":{"number":25,"name":"Brahma","sum_longitude":322.513},"karana":{"half_tithi_index":19,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.259,"elongation":117.761},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.259,"opposition_distance":62.239}},"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":"07:54","sunsetLocal":"16:45","solarNoonLocal":"12:20","dayLengthHours":8.858230178573681,"dayLengthDisplay":"8 Hours 51 Mins 30 Secs","nightLengthDisplay":"15 Hours 08 Mins 30 Secs","moonriseLocal":"11:56","moonsetLocal":"04:06","rahuKala":{"name":"Rāhu Kāla","start":"09:00","end":"10:07","startHours":9.004032382580107,"endHours":10.111311154901816,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:13","end":"12:20","startHours":11.218589927223526,"endHours":12.325868699545236,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:26","end":"14:32","startHours":13.433147471866945,"endHours":14.540426244188657,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:58","end":"10:16","startHours":9.963673985258922,"endHours":10.258948324544711,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:16","end":"08:30","startHours":8.265846534365632,"endHours":8.502066005794264,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:37","startHours":12.030594360259448,"endHours":12.621143038831027,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:43","end":"07:18","startHours":6.715656253115238,"endHours":7.306204931686818,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:10","end":"07:54","startHours":7.158567762043923,"endHours":7.896753610258396,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:48","end":"14:24","startHours":13.802240395974184,"endHours":14.392789074545764,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:33","end":"16:57","startHours":16.55498378883208,"endHours":16.954983788832077,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:45","end":"17:07","startHours":16.754983788832078,"endHours":17.124076712939313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:30","end":"18:15","startHours":16.504983788832078,"endHours":18.254983788832078,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:37","startHours":24.03059436025945,"endHours":24.62114303883103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:54","end":"09:00","startHours":7.896753610258396,"endHours":9.004032382580107,"quality":"auspicious"},{"name":"Kāla","start":"09:00","end":"10:07","startHours":9.004032382580107,"endHours":10.111311154901816,"quality":"inauspicious"},{"name":"Śubha","start":"10:07","end":"11:13","startHours":10.111311154901816,"endHours":11.218589927223526,"quality":"auspicious"},{"name":"Roga","start":"11:13","end":"12:20","startHours":11.218589927223526,"endHours":12.325868699545236,"quality":"inauspicious"},{"name":"Udveg","start":"12:20","end":"13:26","startHours":12.325868699545236,"endHours":13.433147471866945,"quality":"inauspicious"},{"name":"Chala","start":"13:26","end":"14:32","startHours":13.433147471866945,"endHours":14.540426244188657,"quality":"neutral"},{"name":"Labha","start":"14:32","end":"15:39","startHours":14.540426244188657,"endHours":15.647705016510368,"quality":"auspicious"},{"name":"Amṛta","start":"15:39","end":"16:45","startHours":15.647705016510368,"endHours":16.754983788832078,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"16:45","end":"18:39","startHours":16.754983788832078,"endHours":18.64770501651037,"quality":"neutral"},{"name":"Labha","start":"18:39","end":"20:32","startHours":18.64770501651037,"endHours":20.54042624418866,"quality":"auspicious"},{"name":"Amṛta","start":"20:32","end":"22:26","startHours":20.54042624418866,"endHours":22.433147471866945,"quality":"auspicious"},{"name":"Kāla","start":"22:26","end":"00:20","startHours":22.433147471866945,"endHours":24.32586869954524,"quality":"inauspicious"},{"name":"Śubha","start":"00:20","end":"02:13","startHours":24.32586869954524,"endHours":26.218589927223526,"quality":"auspicious"},{"name":"Roga","start":"02:13","end":"04:07","startHours":26.218589927223526,"endHours":28.111311154901816,"quality":"inauspicious"},{"name":"Udveg","start":"04:07","end":"06:00","startHours":28.111311154901816,"endHours":30.004032382580107,"quality":"inauspicious"},{"name":"Chala","start":"06:00","end":"07:54","startHours":30.004032382580107,"endHours":31.896753610258397,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:54","end":"08:54","startHours":7.896753610258396,"endHours":8.896753610258397,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:54","end":"09:54","startHours":8.896753610258397,"endHours":9.896753610258397,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:54","end":"10:54","startHours":9.896753610258397,"endHours":10.896753610258397,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:54","end":"11:54","startHours":10.896753610258397,"endHours":11.896753610258397,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:54","end":"12:54","startHours":11.896753610258397,"endHours":12.896753610258397,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:54","end":"13:54","startHours":12.896753610258397,"endHours":13.896753610258397,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:54","end":"14:54","startHours":13.896753610258397,"endHours":14.896753610258397,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:54","end":"15:54","startHours":14.896753610258397,"endHours":15.896753610258397,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:54","end":"16:54","startHours":15.896753610258397,"endHours":16.896753610258397,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:54","end":"17:54","startHours":16.896753610258397,"endHours":17.896753610258397,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:54","end":"18:54","startHours":17.896753610258397,"endHours":18.896753610258397,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:54","end":"19:54","startHours":18.896753610258397,"endHours":19.896753610258397,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:54","end":"20:54","startHours":19.896753610258397,"endHours":20.896753610258397,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:54","end":"21:54","startHours":20.896753610258397,"endHours":21.896753610258397,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:54","end":"22:54","startHours":21.896753610258397,"endHours":22.896753610258397,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:54","end":"23:54","startHours":22.896753610258397,"endHours":23.896753610258397,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:54","end":"00:54","startHours":23.896753610258397,"endHours":24.896753610258397,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:54","end":"01:54","startHours":24.896753610258397,"endHours":25.896753610258397,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:54","end":"02:54","startHours":25.896753610258397,"endHours":26.896753610258397,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:54","end":"03:54","startHours":26.896753610258397,"endHours":27.896753610258397,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:54","end":"04:54","startHours":27.896753610258397,"endHours":28.896753610258397,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:54","end":"05:54","startHours":28.896753610258397,"endHours":29.896753610258397,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:54","end":"06:54","startHours":29.896753610258397,"endHours":30.896753610258397,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:54","end":"07:54","startHours":30.896753610258397,"endHours":31.896753610258397,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","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":-18.04529232084928,"eotMinutes":-13.172121972714217,"ayanamsa":26.0752}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"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 Daśamī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"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":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","relevance":0.5}]},"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, 2159 CE · Berlin, Germany · Vidhyamitra","description":"January 29, 2159 CE for Berlin, Germany: Śukla Daśamī, sūryodaya 07:54, sūryāsta 16:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2159-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2159-01-29","sa":"https://sa.vidhyamitra.com/city/berlin/2159-01-29","hi":"https://hi.vidhyamitra.com/city/berlin/2159-01-29","x-default":"https://vidhyamitra.com/city/berlin/2159-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T10:50:46.747Z","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":"2026-06-02T10:50:46.747Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T10:50:46.747Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}