{"id":"vidhyamitra:city-day:berlin:2048-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2048-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-12-01","date_display":"December 1, 2048 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469411.770833,"kali_year":5150,"ahargana":1880946.2708,"sun":{"sidereal_longitude":224.3594,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":165.0196,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.6602,"elapsed_within_tithi_degrees":0.6602},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.0196,"elapsed_within_degrees":5.0196},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.379},"karana":{"half_tithi_index":50,"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":2048,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469411.770833,"ahargana":1880946.2708,"kali_year":5150,"ayanamsa_lahiri":24.5363,"grahas":{"sun":{"sidereal_longitude":224.97786799999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":163.060068,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":-4.312},"mars":{"sidereal_longitude":295.87016800000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":233.475368,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":63.22456799999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":268.837668,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":258.69576800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":238.4148,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":58.4148,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2048,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469411.770833,"kali_year":5150,"ahargana":1880946.2708,"sun":{"sidereal_longitude":224.3594,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":165.0196,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.6602,"elapsed_within_tithi_degrees":0.6602},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.0196,"elapsed_within_degrees":5.0196},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":29.379},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.312,"elongation":59.34},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.312,"opposition_distance":120.66}},"eclipse_window_40days":[{"offset_days":19,"type":"lunar","occurs":true,"moon_latitude":-0.379,"opposition_distance":1.575}]},"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":"07:56","sunsetLocal":"15:57","solarNoonLocal":"11:56","dayLengthHours":8.018869208095683,"dayLengthDisplay":"8 Hours 01 Mins 08 Secs","nightLengthDisplay":"15 Hours 58 Mins 52 Secs","moonriseLocal":"02:00","moonsetLocal":"13:37","rahuKala":{"name":"Rāhu Kāla","start":"13:57","end":"14:57","startHours":13.942199792017245,"endHours":14.944558443029207,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:56","end":"10:56","startHours":9.932765187969405,"endHours":10.935123838981365,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:56","end":"12:56","startHours":11.937482489993325,"endHours":12.939841141005285,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:04","startHours":9.799117367834477,"endHours":10.066413008104332,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:16","end":"08:29","startHours":8.262167436282803,"endHours":8.476003948498688,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:12","startHours":11.67018684972347,"endHours":12.20477813026318,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:52","end":"07:24","startHours":6.858865324866059,"endHours":7.393456605405771,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:16","end":"07:56","startHours":7.2598087852708435,"endHours":7.9280478859454835,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:16","end":"13:49","startHours":13.273960691342605,"endHours":13.808551971882318,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:45","end":"16:09","startHours":15.746917094041168,"endHours":16.146917094041168,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:57","end":"16:17","startHours":15.946917094041167,"endHours":16.28103664437849,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:42","end":"17:27","startHours":15.696917094041167,"endHours":17.44691709404117,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:12","startHours":23.670186849723468,"endHours":24.204778130263183,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:56","end":"08:56","startHours":7.9280478859454835,"endHours":8.930406536957443,"quality":"inauspicious"},{"name":"Udveg","start":"08:56","end":"09:56","startHours":8.930406536957443,"endHours":9.932765187969405,"quality":"inauspicious"},{"name":"Chala","start":"09:56","end":"10:56","startHours":9.932765187969405,"endHours":10.935123838981365,"quality":"neutral"},{"name":"Labha","start":"10:56","end":"11:56","startHours":10.935123838981365,"endHours":11.937482489993325,"quality":"auspicious"},{"name":"Amṛta","start":"11:56","end":"12:56","startHours":11.937482489993325,"endHours":12.939841141005285,"quality":"auspicious"},{"name":"Kāla","start":"12:56","end":"13:57","startHours":12.939841141005285,"endHours":13.942199792017245,"quality":"inauspicious"},{"name":"Śubha","start":"13:57","end":"14:57","startHours":13.942199792017245,"endHours":14.944558443029207,"quality":"auspicious"},{"name":"Roga","start":"14:57","end":"15:57","startHours":14.944558443029207,"endHours":15.946917094041167,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"15:57","end":"17:57","startHours":15.946917094041167,"endHours":17.944558443029205,"quality":"inauspicious"},{"name":"Śubha","start":"17:57","end":"19:57","startHours":17.944558443029205,"endHours":19.942199792017245,"quality":"auspicious"},{"name":"Roga","start":"19:57","end":"21:56","startHours":19.942199792017245,"endHours":21.939841141005285,"quality":"inauspicious"},{"name":"Udveg","start":"21:56","end":"23:56","startHours":21.939841141005285,"endHours":23.937482489993325,"quality":"inauspicious"},{"name":"Chala","start":"23:56","end":"01:56","startHours":23.937482489993325,"endHours":25.935123838981365,"quality":"neutral"},{"name":"Labha","start":"01:56","end":"03:56","startHours":25.935123838981365,"endHours":27.9327651879694,"quality":"auspicious"},{"name":"Amṛta","start":"03:56","end":"05:56","startHours":27.9327651879694,"endHours":29.93040653695744,"quality":"auspicious"},{"name":"Kāla","start":"05:56","end":"07:56","startHours":29.93040653695744,"endHours":31.92804788594548,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:56","end":"08:56","startHours":7.9280478859454835,"endHours":8.928047885945483,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:56","end":"09:56","startHours":8.928047885945483,"endHours":9.928047885945483,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:56","end":"10:56","startHours":9.928047885945483,"endHours":10.928047885945483,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:56","end":"11:56","startHours":10.928047885945483,"endHours":11.928047885945483,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:56","end":"12:56","startHours":11.928047885945483,"endHours":12.928047885945483,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:56","end":"13:56","startHours":12.928047885945483,"endHours":13.928047885945483,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:56","end":"14:56","startHours":13.928047885945483,"endHours":14.928047885945483,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:56","end":"15:56","startHours":14.928047885945483,"endHours":15.928047885945483,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:56","end":"16:56","startHours":15.928047885945483,"endHours":16.92804788594548,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:56","end":"17:56","startHours":16.92804788594548,"endHours":17.92804788594548,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:56","end":"18:56","startHours":17.92804788594548,"endHours":18.92804788594548,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:56","end":"19:56","startHours":18.92804788594548,"endHours":19.92804788594548,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:56","end":"20:56","startHours":19.92804788594548,"endHours":20.92804788594548,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:56","end":"21:56","startHours":20.92804788594548,"endHours":21.92804788594548,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:56","end":"22:56","startHours":21.92804788594548,"endHours":22.92804788594548,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:56","end":"23:56","startHours":22.92804788594548,"endHours":23.92804788594548,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:56","end":"00:56","startHours":23.92804788594548,"endHours":24.92804788594548,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:56","end":"01:56","startHours":24.92804788594548,"endHours":25.92804788594548,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:56","end":"02:56","startHours":25.92804788594548,"endHours":26.92804788594548,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:56","end":"03:56","startHours":26.92804788594548,"endHours":27.92804788594548,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:56","end":"04:56","startHours":27.92804788594548,"endHours":28.92804788594548,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:56","end":"05:56","startHours":28.92804788594548,"endHours":29.92804788594548,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:56","end":"06:56","startHours":29.92804788594548,"endHours":30.92804788594548,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:56","end":"07:56","startHours":30.92804788594548,"endHours":31.92804788594548,"planetary_lord":"Saturn"}],"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":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-21.87478172663731,"eotMinutes":10.131050600400467,"ayanamsa":24.5363}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Ekādaśī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[{"id":"saphala-ekadashi","name":"Saphalā Ekādaśī","name_sanskrit":"सफला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Renders all undertakings fruitful (saphala).","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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":"Dedicated festival walk for Saphalā Ekādaśī · Ekādaśī is not live yet; 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 December 1, 2048 CE · Berlin, Germany · Vidhyamitra","description":"December 1, 2048 CE for Berlin, Germany: Kṛṣṇa Ekādaśī, sūryodaya 07:56, sūryāsta 15:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2048-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2048-12-01","sa":"https://sa.vidhyamitra.com/city/berlin/2048-12-01","hi":"https://hi.vidhyamitra.com/city/berlin/2048-12-01","x-default":"https://vidhyamitra.com/city/berlin/2048-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T05:47:44.450Z","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":"2026-09-06T05:47:44.450Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T05:47:44.450Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}