{"id":"vidhyamitra:city-day:berlin:2139-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2139-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2139-10-13","date_display":"October 13, 2139 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":2139,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502598.770833,"kali_year":5241,"ahargana":1914133.2708,"sun":{"sidereal_longitude":172.4738,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":58.2064,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.7327,"elapsed_within_tithi_degrees":5.7327},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.2064,"elapsed_within_degrees":4.8731},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.6802},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2139,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2502598.770833,"ahargana":1914133.2708,"kali_year":5241,"ayanamsa_lahiri":25.8056,"grahas":{"sun":{"sidereal_longitude":173.55328099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":62.081481,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":2.9978},"mars":{"sidereal_longitude":119.58628099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":181.74758099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":274.88678100000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":196.25088099999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":283.882781,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":280.0079,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.0079,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":2139,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2502598.770833,"kali_year":5241,"ahargana":1914133.2708,"sun":{"sidereal_longitude":172.4738,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":58.2064,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":245.7327,"elapsed_within_tithi_degrees":5.7327},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":58.2064,"elapsed_within_degrees":4.8731},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.6802},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.998,"elongation":114.267},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.998,"opposition_distance":65.733}},"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":"06:26","sunsetLocal":"17:18","solarNoonLocal":"11:52","dayLengthHours":10.854722348209574,"dayLengthDisplay":"10 Hours 51 Mins 17 Secs","nightLengthDisplay":"13 Hours 08 Mins 43 Secs","moonriseLocal":"20:03","moonsetLocal":"12:49","rahuKala":{"name":"Rāhu Kāla","start":"14:35","end":"15:56","startHours":14.579306766917803,"endHours":15.936147060444,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:09","end":"10:31","startHours":9.151945592813018,"endHours":10.508785886339213,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:52","end":"13:13","startHours":11.86562617986541,"endHours":13.222466473391608,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:20","startHours":8.971033553676191,"endHours":9.332857631949842,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:53","end":"07:11","startHours":6.890545103602689,"endHours":7.180004366221611,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:30","end":"12:14","startHours":11.503802101591758,"endHours":12.227450258139063,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:59","end":"05:43","startHours":4.990968692666014,"endHours":5.714616849213319,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:26","startHours":5.533704810076492,"endHours":6.438265005760623,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:24","startHours":13.674746571233673,"endHours":14.398394727780978,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:06","end":"17:30","startHours":17.092987353970198,"endHours":17.492987353970197,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:18","end":"17:45","startHours":17.292987353970197,"endHours":17.745267451812264,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:03","end":"18:48","startHours":17.042987353970197,"endHours":18.792987353970197,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:30","end":"00:14","startHours":23.503802101591756,"endHours":24.22745025813906,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:26","end":"07:48","startHours":6.438265005760623,"endHours":7.795105299286821,"quality":"inauspicious"},{"name":"Udveg","start":"07:48","end":"09:09","startHours":7.795105299286821,"endHours":9.151945592813018,"quality":"inauspicious"},{"name":"Chala","start":"09:09","end":"10:31","startHours":9.151945592813018,"endHours":10.508785886339213,"quality":"neutral"},{"name":"Labha","start":"10:31","end":"11:52","startHours":10.508785886339213,"endHours":11.86562617986541,"quality":"auspicious"},{"name":"Amṛta","start":"11:52","end":"13:13","startHours":11.86562617986541,"endHours":13.222466473391608,"quality":"auspicious"},{"name":"Kāla","start":"13:13","end":"14:35","startHours":13.222466473391608,"endHours":14.579306766917803,"quality":"inauspicious"},{"name":"Śubha","start":"14:35","end":"15:56","startHours":14.579306766917803,"endHours":15.936147060444,"quality":"auspicious"},{"name":"Roga","start":"15:56","end":"17:18","startHours":15.936147060444,"endHours":17.292987353970197,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:18","end":"18:56","startHours":17.292987353970197,"endHours":18.936147060444,"quality":"inauspicious"},{"name":"Śubha","start":"18:56","end":"20:35","startHours":18.936147060444,"endHours":20.579306766917803,"quality":"auspicious"},{"name":"Roga","start":"20:35","end":"22:13","startHours":20.579306766917803,"endHours":22.222466473391606,"quality":"inauspicious"},{"name":"Udveg","start":"22:13","end":"23:52","startHours":22.222466473391606,"endHours":23.86562617986541,"quality":"inauspicious"},{"name":"Chala","start":"23:52","end":"01:31","startHours":23.86562617986541,"endHours":25.50878588633921,"quality":"neutral"},{"name":"Labha","start":"01:31","end":"03:09","startHours":25.50878588633921,"endHours":27.151945592813018,"quality":"auspicious"},{"name":"Amṛta","start":"03:09","end":"04:48","startHours":27.151945592813018,"endHours":28.79510529928682,"quality":"auspicious"},{"name":"Kāla","start":"04:48","end":"06:26","startHours":28.79510529928682,"endHours":30.438265005760623,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:26","end":"07:26","startHours":6.438265005760623,"endHours":7.438265005760623,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:26","end":"08:26","startHours":7.438265005760623,"endHours":8.438265005760623,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:26","end":"09:26","startHours":8.438265005760623,"endHours":9.438265005760623,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:26","end":"10:26","startHours":9.438265005760623,"endHours":10.438265005760623,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:26","end":"11:26","startHours":10.438265005760623,"endHours":11.438265005760623,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:26","end":"12:26","startHours":11.438265005760623,"endHours":12.438265005760623,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:26","end":"13:26","startHours":12.438265005760623,"endHours":13.438265005760623,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:26","end":"14:26","startHours":13.438265005760623,"endHours":14.438265005760623,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:26","end":"15:26","startHours":14.438265005760623,"endHours":15.438265005760623,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:26","end":"16:26","startHours":15.438265005760623,"endHours":16.438265005760623,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:26","end":"17:26","startHours":16.438265005760623,"endHours":17.438265005760623,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:26","end":"18:26","startHours":17.438265005760623,"endHours":18.438265005760623,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:26","end":"19:26","startHours":18.438265005760623,"endHours":19.438265005760623,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:26","end":"20:26","startHours":19.438265005760623,"endHours":20.438265005760623,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:26","end":"21:26","startHours":20.438265005760623,"endHours":21.438265005760623,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:26","end":"22:26","startHours":21.438265005760623,"endHours":22.438265005760623,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:26","end":"23:26","startHours":22.438265005760623,"endHours":23.438265005760623,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:26","end":"00:26","startHours":23.438265005760623,"endHours":24.438265005760623,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:26","end":"01:26","startHours":24.438265005760623,"endHours":25.438265005760623,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:26","end":"02:26","startHours":25.438265005760623,"endHours":26.438265005760623,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:26","end":"03:26","startHours":26.438265005760623,"endHours":27.438265005760623,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:26","end":"04:26","startHours":27.438265005760623,"endHours":28.438265005760623,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:26","end":"05:26","startHours":28.438265005760623,"endHours":29.438265005760623,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:26","end":"06:26","startHours":29.438265005760623,"endHours":30.438265005760623,"planetary_lord":"Saturn"}],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.576047404935449,"eotMinutes":14.442429208075392,"ayanamsa":25.8056}},"calendars":{"vikram_samvat":2196,"vikram_samvatsara":"Paridhāvi","saka_samvat":2061,"saka_samvatsara":"Vikāri","bengali_samvat":1546,"malayalam_era":1315,"nanakshahi_year":670,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ṣaṣṭhī · Vikram 2196 Paridhāvi · Śaka 2061 Vikāri"},"festivals":[],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 October 13, 2139 CE · Berlin, Germany · Vidhyamitra","description":"October 13, 2139 CE for Berlin, Germany: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:26, sūryāsta 17:18.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2139-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2139-10-13","sa":"https://sa.vidhyamitra.com/city/berlin/2139-10-13","hi":"https://hi.vidhyamitra.com/city/berlin/2139-10-13","x-default":"https://vidhyamitra.com/city/berlin/2139-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-29T16:24:20.325Z","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":"2026-05-29T16:24:20.325Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-29T16:24:20.325Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}