{"id":"vidhyamitra:city-day:berlin:2115-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2115-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2115-12-24","date_display":"December 24, 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":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493904.770833,"kali_year":5217,"ahargana":1905439.2708,"sun":{"sidereal_longitude":245.5323,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":335.5989,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.0666,"elapsed_within_tithi_degrees":6.0666},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.5989,"elapsed_within_degrees":2.2656},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.1312},"karana":{"half_tithi_index":15,"name":"Bava"},"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":2115,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493904.770833,"ahargana":1905439.2708,"kali_year":5217,"ayanamsa_lahiri":25.4731,"grahas":{"sun":{"sidereal_longitude":246.13435600000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":332.56635600000004,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-3.1836},"mars":{"sidereal_longitude":215.412056,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":247.25385600000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":277.47245599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":283.251756,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":351.507756,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":20.6578,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":200.6578,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","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":2115,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493904.770833,"kali_year":5217,"ahargana":1905439.2708,"sun":{"sidereal_longitude":245.5323,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":335.5989,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":90.0666,"elapsed_within_tithi_degrees":6.0666},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":335.5989,"elapsed_within_degrees":2.2656},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":221.1312},"karana":{"half_tithi_index":15,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.184,"elongation":90.067},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.184,"opposition_distance":89.933}},"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":"15:56","solarNoonLocal":"12:06","dayLengthHours":7.650823701684679,"dayLengthDisplay":"7 Hours 39 Mins 03 Secs","nightLengthDisplay":"16 Hours 20 Mins 57 Secs","moonriseLocal":"11:52","moonsetLocal":"23:52","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"14:59","startHours":14.019463862154758,"endHours":14.975816824865344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:12","end":"11:09","startHours":10.194052011312419,"endHours":11.150404974023004,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:06","end":"13:04","startHours":12.106757936733588,"endHours":13.063110899444172,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:04","end":"10:19","startHours":10.066538282951008,"endHours":10.32156573967383,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.600130406794777,"endHours":8.804152372173036,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:22","startHours":11.851730480010765,"endHours":12.361785393456412,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:16","end":"07:46","startHours":7.261236258999959,"endHours":7.771291172445603,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:17","startHours":7.643777444084193,"endHours":8.281346085891249,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:23","end":"13:54","startHours":13.381895220347701,"endHours":13.891950133793346,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:44","end":"16:08","startHours":15.732169787575929,"endHours":16.13216978757593,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:56","end":"16:15","startHours":15.932169787575928,"endHours":16.250954108479455,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:41","end":"17:26","startHours":15.682169787575928,"endHours":17.43216978757593,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:22","startHours":23.851730480010765,"endHours":24.361785393456408,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"08:17","end":"09:14","startHours":8.281346085891249,"endHours":9.237699048601833,"quality":"inauspicious"},{"name":"Udveg","start":"09:14","end":"10:12","startHours":9.237699048601833,"endHours":10.194052011312419,"quality":"inauspicious"},{"name":"Chala","start":"10:12","end":"11:09","startHours":10.194052011312419,"endHours":11.150404974023004,"quality":"neutral"},{"name":"Labha","start":"11:09","end":"12:06","startHours":11.150404974023004,"endHours":12.106757936733588,"quality":"auspicious"},{"name":"Amṛta","start":"12:06","end":"13:04","startHours":12.106757936733588,"endHours":13.063110899444172,"quality":"auspicious"},{"name":"Kāla","start":"13:04","end":"14:01","startHours":13.063110899444172,"endHours":14.019463862154758,"quality":"inauspicious"},{"name":"Śubha","start":"14:01","end":"14:59","startHours":14.019463862154758,"endHours":14.975816824865344,"quality":"auspicious"},{"name":"Roga","start":"14:59","end":"15:56","startHours":14.975816824865344,"endHours":15.932169787575928,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"15:56","end":"17:59","startHours":15.932169787575928,"endHours":17.975816824865344,"quality":"inauspicious"},{"name":"Śubha","start":"17:59","end":"20:01","startHours":17.975816824865344,"endHours":20.01946386215476,"quality":"auspicious"},{"name":"Roga","start":"20:01","end":"22:04","startHours":20.01946386215476,"endHours":22.063110899444172,"quality":"inauspicious"},{"name":"Udveg","start":"22:04","end":"00:06","startHours":22.063110899444172,"endHours":24.106757936733587,"quality":"inauspicious"},{"name":"Chala","start":"00:06","end":"02:09","startHours":24.106757936733587,"endHours":26.150404974023004,"quality":"neutral"},{"name":"Labha","start":"02:09","end":"04:12","startHours":26.150404974023004,"endHours":28.19405201131242,"quality":"auspicious"},{"name":"Amṛta","start":"04:12","end":"06:14","startHours":28.19405201131242,"endHours":30.237699048601833,"quality":"auspicious"},{"name":"Kāla","start":"06:14","end":"08:17","startHours":30.237699048601833,"endHours":32.28134608589125,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.281346085891249,"endHours":9.281346085891249,"planetary_lord":"Mars"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.281346085891249,"endHours":10.281346085891249,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.281346085891249,"endHours":11.281346085891249,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.281346085891249,"endHours":12.281346085891249,"planetary_lord":"Moon"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.281346085891249,"endHours":13.281346085891249,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.281346085891249,"endHours":14.281346085891249,"planetary_lord":"Venus"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.281346085891249,"endHours":15.281346085891249,"planetary_lord":"Sun"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.281346085891249,"endHours":16.28134608589125,"planetary_lord":"Mars"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.28134608589125,"endHours":17.28134608589125,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.28134608589125,"endHours":18.28134608589125,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.28134608589125,"endHours":19.28134608589125,"planetary_lord":"Moon"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.28134608589125,"endHours":20.28134608589125,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.28134608589125,"endHours":21.28134608589125,"planetary_lord":"Venus"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.28134608589125,"endHours":22.28134608589125,"planetary_lord":"Sun"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.28134608589125,"endHours":23.28134608589125,"planetary_lord":"Mars"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.28134608589125,"endHours":24.28134608589125,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.28134608589125,"endHours":25.28134608589125,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.28134608589125,"endHours":26.28134608589125,"planetary_lord":"Moon"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.28134608589125,"endHours":27.28134608589125,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.28134608589125,"endHours":28.28134608589125,"planetary_lord":"Venus"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.28134608589125,"endHours":29.28134608589125,"planetary_lord":"Sun"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.28134608589125,"endHours":30.28134608589125,"planetary_lord":"Mars"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.28134608589125,"endHours":31.28134608589125,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.28134608589125,"endHours":32.28134608589125,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"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":-23.42672615826783,"eotMinutes":-0.025476204015291604,"ayanamsa":25.4731}},"calendars":{"vikram_samvat":2172,"vikram_samvatsara":"Sarvadhāri","saka_samvat":2037,"saka_samvatsara":"Yuva","bengali_samvat":1522,"malayalam_era":1291,"nanakshahi_year":646,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram 2172 Sarvadhāri · Śaka 2037 Yuva"},"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":[{"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 December 24, 2115 CE · Berlin, Germany · Vidhyamitra","description":"December 24, 2115 CE for Berlin, Germany: Śukla Aṣṭamī, sūryodaya 08:17, sūryāsta 15:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2115-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2115-12-24","sa":"https://sa.vidhyamitra.com/city/berlin/2115-12-24","hi":"https://hi.vidhyamitra.com/city/berlin/2115-12-24","x-default":"https://vidhyamitra.com/city/berlin/2115-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:47:47.873Z","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":"2026-06-02T19:47:47.873Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:47:47.873Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}