{"id":"vidhyamitra:city-day:berlin:2011-12-24:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2011-12-24","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-12-24","date_display":"December 24, 2011 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":2011,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455919.770833,"kali_year":5113,"ahargana":1867454.2708,"sun":{"sidereal_longitude":247.4953,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":239.7611,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.2658,"elapsed_within_tithi_degrees":4.2658},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7611,"elapsed_within_degrees":13.0944},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.2564},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2011,"month":12,"day":24,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455919.770833,"ahargana":1867454.2708,"kali_year":5113,"ayanamsa_lahiri":24.0203,"grahas":{"sun":{"sidereal_longitude":247.83466199999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"moon":{"sidereal_longitude":238.34266200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":0.507},"mars":{"sidereal_longitude":143.72076200000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":225.79646200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":6.197262000000023,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":279.85826199999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":183.45676200000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":233.2859,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":53.2859,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2011,"month":12,"day":24,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455919.770833,"kali_year":5113,"ahargana":1867454.2708,"sun":{"sidereal_longitude":247.4953,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":239.7611,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":352.2658,"elapsed_within_tithi_degrees":4.2658},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.7611,"elapsed_within_degrees":13.0944},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":127.2564},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.507,"elongation":7.734},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.507,"opposition_distance":172.266}},"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":7.651612623235394,"dayLengthDisplay":"7 Hours 39 Mins 06 Secs","nightLengthDisplay":"16 Hours 20 Mins 54 Secs","moonriseLocal":"07:40","moonsetLocal":"15:17","rahuKala":{"name":"Rāhu Kāla","start":"10:12","end":"11:09","startHours":10.19385478092474,"endHours":11.150306358829164,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:04","end":"14:01","startHours":13.063209514638013,"endHours":14.019661092542437,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:17","end":"09:14","startHours":8.280951625115891,"endHours":9.237403203020316,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"10:04","end":"10:19","startHours":10.066327903870818,"endHours":10.321381657978662,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:36","end":"08:48","startHours":8.5997688177507,"endHours":8.803811821036977,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:22","startHours":11.851704182625742,"endHours":12.361811690841435,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"07:16","end":"07:46","startHours":7.260736608684505,"endHours":7.770844116900198,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:39","end":"08:17","startHours":7.643317239846275,"endHours":8.280951625115891,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:23","end":"13:54","startHours":13.382026707272821,"endHours":13.892134215488515,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:44","end":"16:08","startHours":15.732564248351286,"endHours":16.132564248351287,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:56","end":"16:15","startHours":15.932564248351285,"endHours":16.251381440986094,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:41","end":"17:26","startHours":15.682564248351285,"endHours":17.432564248351284,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:22","startHours":23.851704182625742,"endHours":24.36181169084143,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"08:17","end":"09:14","startHours":8.280951625115891,"endHours":9.237403203020316,"quality":"inauspicious"},{"name":"Śubha","start":"09:14","end":"10:12","startHours":9.237403203020316,"endHours":10.19385478092474,"quality":"auspicious"},{"name":"Roga","start":"10:12","end":"11:09","startHours":10.19385478092474,"endHours":11.150306358829164,"quality":"inauspicious"},{"name":"Udveg","start":"11:09","end":"12:06","startHours":11.150306358829164,"endHours":12.106757936733588,"quality":"inauspicious"},{"name":"Chala","start":"12:06","end":"13:04","startHours":12.106757936733588,"endHours":13.063209514638013,"quality":"neutral"},{"name":"Labha","start":"13:04","end":"14:01","startHours":13.063209514638013,"endHours":14.019661092542437,"quality":"auspicious"},{"name":"Amṛta","start":"14:01","end":"14:59","startHours":14.019661092542437,"endHours":14.976112670446861,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"15:56","startHours":14.976112670446861,"endHours":15.932564248351285,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"15:56","end":"17:59","startHours":15.932564248351285,"endHours":17.97611267044686,"quality":"auspicious"},{"name":"Amṛta","start":"17:59","end":"20:01","startHours":17.97611267044686,"endHours":20.019661092542435,"quality":"auspicious"},{"name":"Kāla","start":"20:01","end":"22:04","startHours":20.019661092542435,"endHours":22.06320951463801,"quality":"inauspicious"},{"name":"Śubha","start":"22:04","end":"00:06","startHours":22.06320951463801,"endHours":24.106757936733587,"quality":"auspicious"},{"name":"Roga","start":"00:06","end":"02:09","startHours":24.106757936733587,"endHours":26.150306358829162,"quality":"inauspicious"},{"name":"Udveg","start":"02:09","end":"04:12","startHours":26.150306358829162,"endHours":28.193854780924738,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"06:14","startHours":28.193854780924738,"endHours":30.237403203020314,"quality":"neutral"},{"name":"Labha","start":"06:14","end":"08:17","startHours":30.237403203020314,"endHours":32.28095162511589,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"08:17","end":"09:17","startHours":8.280951625115891,"endHours":9.280951625115891,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"09:17","end":"10:17","startHours":9.280951625115891,"endHours":10.280951625115891,"planetary_lord":"Moon"},{"name":"Hora 3","start":"10:17","end":"11:17","startHours":10.280951625115891,"endHours":11.280951625115891,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"11:17","end":"12:17","startHours":11.280951625115891,"endHours":12.280951625115891,"planetary_lord":"Venus"},{"name":"Hora 5","start":"12:17","end":"13:17","startHours":12.280951625115891,"endHours":13.280951625115891,"planetary_lord":"Sun"},{"name":"Hora 6","start":"13:17","end":"14:17","startHours":13.280951625115891,"endHours":14.280951625115891,"planetary_lord":"Mars"},{"name":"Hora 7","start":"14:17","end":"15:17","startHours":14.280951625115891,"endHours":15.280951625115891,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"15:17","end":"16:17","startHours":15.280951625115891,"endHours":16.28095162511589,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"16:17","end":"17:17","startHours":16.28095162511589,"endHours":17.28095162511589,"planetary_lord":"Moon"},{"name":"Hora 10","start":"17:17","end":"18:17","startHours":17.28095162511589,"endHours":18.28095162511589,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"18:17","end":"19:17","startHours":18.28095162511589,"endHours":19.28095162511589,"planetary_lord":"Venus"},{"name":"Hora 12","start":"19:17","end":"20:17","startHours":19.28095162511589,"endHours":20.28095162511589,"planetary_lord":"Sun"},{"name":"Hora 13","start":"20:17","end":"21:17","startHours":20.28095162511589,"endHours":21.28095162511589,"planetary_lord":"Mars"},{"name":"Hora 14","start":"21:17","end":"22:17","startHours":21.28095162511589,"endHours":22.28095162511589,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"22:17","end":"23:17","startHours":22.28095162511589,"endHours":23.28095162511589,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"23:17","end":"00:17","startHours":23.28095162511589,"endHours":24.28095162511589,"planetary_lord":"Moon"},{"name":"Hora 17","start":"00:17","end":"01:17","startHours":24.28095162511589,"endHours":25.28095162511589,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"01:17","end":"02:17","startHours":25.28095162511589,"endHours":26.28095162511589,"planetary_lord":"Venus"},{"name":"Hora 19","start":"02:17","end":"03:17","startHours":26.28095162511589,"endHours":27.28095162511589,"planetary_lord":"Sun"},{"name":"Hora 20","start":"03:17","end":"04:17","startHours":27.28095162511589,"endHours":28.28095162511589,"planetary_lord":"Mars"},{"name":"Hora 21","start":"04:17","end":"05:17","startHours":28.28095162511589,"endHours":29.28095162511589,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"05:17","end":"06:17","startHours":29.28095162511589,"endHours":30.28095162511589,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"06:17","end":"07:17","startHours":30.28095162511589,"endHours":31.28095162511589,"planetary_lord":"Moon"},{"name":"Hora 24","start":"07:17","end":"08:17","startHours":31.28095162511589,"endHours":32.28095162511589,"planetary_lord":"Mercury"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","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":-23.423485053780986,"eotMinutes":-0.025476204015291604,"ayanamsa":24.0203}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","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":"Pauṣa Kṛṣṇa Amāvasyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā + Jyeṣṭhā","url":"/day/-3137-10-20","relevance":1}]},"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, 2011 CE · Berlin, Germany · Vidhyamitra","description":"December 24, 2011 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 08:17, sūryāsta 15:56.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2011-12-24","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2011-12-24","sa":"https://sa.vidhyamitra.com/city/berlin/2011-12-24","hi":"https://hi.vidhyamitra.com/city/berlin/2011-12-24","x-default":"https://vidhyamitra.com/city/berlin/2011-12-24"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:35:05.649Z","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":"2026-05-31T18:35:05.649Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:35:05.649Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}