{"id":"vidhyamitra:city-day:berlin:2115-01-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-01-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-01-04","date_display":"January 4, 2115 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":2115,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493550.770833,"kali_year":5216,"ahargana":1905085.2708,"sun":{"sidereal_longitude":257.1045,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.4379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.3334,"elapsed_within_tithi_degrees":9.3334},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4379,"elapsed_within_degrees":3.7712},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.5423},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2115,"month":1,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493550.770833,"ahargana":1905085.2708,"kali_year":5216,"ayanamsa_lahiri":25.4596,"grahas":{"sun":{"sidereal_longitude":257.602181,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":347.392681,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false,"latitude":-3.3935},"mars":{"sidereal_longitude":351.645881,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.43798100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":254.08228099999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":210.914581,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":339.163081,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":39.4144,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":219.4144,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":2115,"month":1,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493550.770833,"kali_year":5216,"ahargana":1905085.2708,"sun":{"sidereal_longitude":257.1045,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":350.4379,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":93.3334,"elapsed_within_tithi_degrees":9.3334},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.4379,"elapsed_within_degrees":3.7712},"yoga":{"number":19,"name":"Parigha","sum_longitude":247.5423},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.393,"elongation":93.333},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.393,"opposition_distance":86.667}},"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":"08:17","sunsetLocal":"16:05","solarNoonLocal":"12:11","dayLengthHours":7.802831838612692,"dayLengthDisplay":"7 Hours 48 Mins 10 Secs","nightLengthDisplay":"16 Hours 11 Mins 50 Secs","moonriseLocal":"11:40","moonsetLocal":"00:41","rahuKala":{"name":"Rāhu Kāla","start":"11:13","end":"12:11","startHours":11.214711134595852,"endHours":12.190065114422438,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:07","startHours":14.14077307407561,"endHours":15.116127053902197,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:16","end":"10:14","startHours":9.264003174942678,"endHours":10.239357154769264,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:07","end":"10:22","startHours":10.109309957459054,"endHours":10.369404352079476,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:37","end":"08:49","startHours":8.61376718839162,"endHours":8.821842704087958,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:27","startHours":11.929970719802014,"endHours":12.450159509042859,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:15","end":"07:46","startHours":7.2482716166343995,"endHours":7.7684604058752456,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:38","end":"08:17","startHours":7.638413208565034,"endHours":8.288649195116092,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:29","end":"14:01","startHours":13.490537087524553,"endHours":14.010725876765399,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:53","end":"16:17","startHours":15.891481033728784,"endHours":16.291481033728783,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"16:05","end":"16:25","startHours":16.091481033728783,"endHours":16.416599027004313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:50","end":"17:35","startHours":15.841481033728783,"endHours":17.591481033728783,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:27","startHours":23.929970719802014,"endHours":24.450159509042862,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"08:17","end":"09:16","startHours":8.288649195116092,"endHours":9.264003174942678,"quality":"neutral"},{"name":"Labha","start":"09:16","end":"10:14","startHours":9.264003174942678,"endHours":10.239357154769264,"quality":"auspicious"},{"name":"Amṛta","start":"10:14","end":"11:13","startHours":10.239357154769264,"endHours":11.214711134595852,"quality":"auspicious"},{"name":"Kāla","start":"11:13","end":"12:11","startHours":11.214711134595852,"endHours":12.190065114422438,"quality":"inauspicious"},{"name":"Śubha","start":"12:11","end":"13:10","startHours":12.190065114422438,"endHours":13.165419094249025,"quality":"auspicious"},{"name":"Roga","start":"13:10","end":"14:08","startHours":13.165419094249025,"endHours":14.14077307407561,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:07","startHours":14.14077307407561,"endHours":15.116127053902197,"quality":"inauspicious"},{"name":"Chala","start":"15:07","end":"16:05","startHours":15.116127053902197,"endHours":16.091481033728783,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"16:05","end":"18:07","startHours":16.091481033728783,"endHours":18.116127053902197,"quality":"inauspicious"},{"name":"Udveg","start":"18:07","end":"20:08","startHours":18.116127053902197,"endHours":20.14077307407561,"quality":"inauspicious"},{"name":"Chala","start":"20:08","end":"22:10","startHours":20.14077307407561,"endHours":22.165419094249025,"quality":"neutral"},{"name":"Labha","start":"22:10","end":"00:11","startHours":22.165419094249025,"endHours":24.19006511442244,"quality":"auspicious"},{"name":"Amṛta","start":"00:11","end":"02:13","startHours":24.19006511442244,"endHours":26.214711134595852,"quality":"auspicious"},{"name":"Kāla","start":"02:13","end":"04:14","startHours":26.214711134595852,"endHours":28.239357154769266,"quality":"inauspicious"},{"name":"Śubha","start":"04:14","end":"06:16","startHours":28.239357154769266,"endHours":30.26400317494268,"quality":"auspicious"},{"name":"Roga","start":"06:16","end":"08:17","startHours":30.26400317494268,"endHours":32.28864919511609,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.288649195116092,"endHours":9.288649195116092,"planetary_lord":"Venus"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.288649195116092,"endHours":10.288649195116092,"planetary_lord":"Sun"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.288649195116092,"endHours":11.288649195116092,"planetary_lord":"Mars"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.288649195116092,"endHours":12.288649195116092,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.288649195116092,"endHours":13.288649195116092,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.288649195116092,"endHours":14.288649195116092,"planetary_lord":"Moon"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.288649195116092,"endHours":15.288649195116092,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.288649195116092,"endHours":16.288649195116093,"planetary_lord":"Venus"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.288649195116093,"endHours":17.288649195116093,"planetary_lord":"Sun"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.288649195116093,"endHours":18.288649195116093,"planetary_lord":"Mars"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.288649195116093,"endHours":19.288649195116093,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.288649195116093,"endHours":20.288649195116093,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.288649195116093,"endHours":21.288649195116093,"planetary_lord":"Moon"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.288649195116093,"endHours":22.288649195116093,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.288649195116093,"endHours":23.288649195116093,"planetary_lord":"Venus"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.288649195116093,"endHours":24.288649195116093,"planetary_lord":"Sun"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.288649195116093,"endHours":25.288649195116093,"planetary_lord":"Mars"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.288649195116093,"endHours":26.288649195116093,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.288649195116093,"endHours":27.288649195116093,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.288649195116093,"endHours":28.288649195116093,"planetary_lord":"Moon"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.288649195116093,"endHours":29.288649195116093,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.288649195116093,"endHours":30.288649195116093,"planetary_lord":"Venus"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.288649195116093,"endHours":31.288649195116093,"planetary_lord":"Sun"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.288649195116093,"endHours":32.28864919511609,"planetary_lord":"Mars"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.79542058109142,"eotMinutes":-5.02390686534617,"ayanamsa":25.4596}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"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":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Aṣṭamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","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 4, 2115 CE · Berlin, Germany · Vidhyamitra","description":"January 4, 2115 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 08:17, sūryāsta 16:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-01-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-01-04","sa":"https://sa.vidhyamitra.com/city/berlin/2115-01-04","hi":"https://hi.vidhyamitra.com/city/berlin/2115-01-04","x-default":"https://vidhyamitra.com/city/berlin/2115-01-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:30:52.025Z","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":"2026-05-31T10:30:52.025Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:30:52.025Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}