{"id":"vidhyamitra:city-day:berlin:2087-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2087-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-12-01","date_display":"December 1, 2087 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":2087,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483655.770833,"kali_year":5189,"ahargana":1895190.2708,"sun":{"sidereal_longitude":223.245,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":291.0344,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.7894,"elapsed_within_tithi_degrees":7.7894},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.0344,"elapsed_within_degrees":11.0344},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.2794},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2087,"month":12,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483655.770833,"ahargana":1895190.2708,"kali_year":5189,"ayanamsa_lahiri":25.0811,"grahas":{"sun":{"sidereal_longitude":223.96504300000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":287.773643,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.4951},"mars":{"sidereal_longitude":225.21994300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":226.16104300000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":167.345643,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"venus":{"sidereal_longitude":183.27524300000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":12.301542999999981,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":203.6992,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":23.6992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2087,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483655.770833,"kali_year":5189,"ahargana":1895190.2708,"sun":{"sidereal_longitude":223.245,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":291.0344,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":67.7894,"elapsed_within_tithi_degrees":7.7894},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":291.0344,"elapsed_within_degrees":11.0344},"yoga":{"number":12,"name":"Dhruva","sum_longitude":154.2794},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.495,"elongation":67.789},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.495,"opposition_distance":112.211}},"eclipse_window_40days":[{"offset_days":-6,"type":"solar","occurs":true,"moon_latitude":0.904,"elongation":1.517}]},"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":"07:55","sunsetLocal":"15:57","solarNoonLocal":"11:56","dayLengthHours":8.035257529904733,"dayLengthDisplay":"8 Hours 02 Mins 07 Secs","nightLengthDisplay":"15 Hours 57 Mins 53 Secs","moonriseLocal":"11:41","moonsetLocal":"20:42","rahuKala":{"name":"Rāhu Kāla","start":"08:55","end":"09:56","startHours":8.92426091627905,"endHours":9.928668107517142,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:56","end":"11:56","startHours":10.933075298755234,"endHours":11.937482489993325,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:57","end":"13:57","startHours":12.941889681231416,"endHours":13.946296872469508,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:48","end":"10:04","startHours":9.794747148685396,"endHours":10.062589066348888,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"08:15","end":"08:28","startHours":8.254656122120323,"endHours":8.468929656251117,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:40","end":"12:12","startHours":11.669640572329834,"endHours":12.205324407656816,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"06:51","end":"07:23","startHours":6.848486054386994,"endHours":7.384169889713976,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"07:15","end":"07:55","startHours":7.250248930882231,"endHours":7.919853725040959,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:17","end":"13:49","startHours":13.27669207831078,"endHours":13.812375913637762,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"15:45","end":"16:09","startHours":15.755111254945692,"endHours":16.15511125494569,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"15:57","end":"16:17","startHours":15.955111254945692,"endHours":16.289913652025056,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"15:42","end":"17:27","startHours":15.705111254945692,"endHours":17.45511125494569,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:40","end":"00:12","startHours":23.669640572329833,"endHours":24.205324407656818,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:55","end":"08:55","startHours":7.919853725040959,"endHours":8.92426091627905,"quality":"auspicious"},{"name":"Kāla","start":"08:55","end":"09:56","startHours":8.92426091627905,"endHours":9.928668107517142,"quality":"inauspicious"},{"name":"Śubha","start":"09:56","end":"10:56","startHours":9.928668107517142,"endHours":10.933075298755234,"quality":"auspicious"},{"name":"Roga","start":"10:56","end":"11:56","startHours":10.933075298755234,"endHours":11.937482489993325,"quality":"inauspicious"},{"name":"Udveg","start":"11:56","end":"12:57","startHours":11.937482489993325,"endHours":12.941889681231416,"quality":"inauspicious"},{"name":"Chala","start":"12:57","end":"13:57","startHours":12.941889681231416,"endHours":13.946296872469508,"quality":"neutral"},{"name":"Labha","start":"13:57","end":"14:57","startHours":13.946296872469508,"endHours":14.950704063707601,"quality":"auspicious"},{"name":"Amṛta","start":"14:57","end":"15:57","startHours":14.950704063707601,"endHours":15.955111254945692,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"15:57","end":"17:57","startHours":15.955111254945692,"endHours":17.9507040637076,"quality":"neutral"},{"name":"Labha","start":"17:57","end":"19:57","startHours":17.9507040637076,"endHours":19.94629687246951,"quality":"auspicious"},{"name":"Amṛta","start":"19:57","end":"21:57","startHours":19.94629687246951,"endHours":21.941889681231416,"quality":"auspicious"},{"name":"Kāla","start":"21:57","end":"23:56","startHours":21.941889681231416,"endHours":23.937482489993325,"quality":"inauspicious"},{"name":"Śubha","start":"23:56","end":"01:56","startHours":23.937482489993325,"endHours":25.933075298755234,"quality":"auspicious"},{"name":"Roga","start":"01:56","end":"03:56","startHours":25.933075298755234,"endHours":27.92866810751714,"quality":"inauspicious"},{"name":"Udveg","start":"03:56","end":"05:55","startHours":27.92866810751714,"endHours":29.92426091627905,"quality":"inauspicious"},{"name":"Chala","start":"05:55","end":"07:55","startHours":29.92426091627905,"endHours":31.91985372504096,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:55","end":"08:55","startHours":7.919853725040959,"endHours":8.919853725040959,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:55","end":"09:55","startHours":8.919853725040959,"endHours":9.919853725040959,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:55","end":"10:55","startHours":9.919853725040959,"endHours":10.919853725040959,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:55","end":"11:55","startHours":10.919853725040959,"endHours":11.919853725040959,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:55","end":"12:55","startHours":11.919853725040959,"endHours":12.919853725040959,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:55","end":"13:55","startHours":12.919853725040959,"endHours":13.919853725040959,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:55","end":"14:55","startHours":13.919853725040959,"endHours":14.919853725040959,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:55","end":"15:55","startHours":14.919853725040959,"endHours":15.919853725040959,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:55","end":"16:55","startHours":15.919853725040959,"endHours":16.91985372504096,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:55","end":"17:55","startHours":16.91985372504096,"endHours":17.91985372504096,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:55","end":"18:55","startHours":17.91985372504096,"endHours":18.91985372504096,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:55","end":"19:55","startHours":18.91985372504096,"endHours":19.91985372504096,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:55","end":"20:55","startHours":19.91985372504096,"endHours":20.91985372504096,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:55","end":"21:55","startHours":20.91985372504096,"endHours":21.91985372504096,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:55","end":"22:55","startHours":21.91985372504096,"endHours":22.91985372504096,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:55","end":"23:55","startHours":22.91985372504096,"endHours":23.91985372504096,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:55","end":"00:55","startHours":23.91985372504096,"endHours":24.91985372504096,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:55","end":"01:55","startHours":24.91985372504096,"endHours":25.91985372504096,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:55","end":"02:55","startHours":25.91985372504096,"endHours":26.91985372504096,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:55","end":"03:55","startHours":26.91985372504096,"endHours":27.91985372504096,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:55","end":"04:55","startHours":27.91985372504096,"endHours":28.91985372504096,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:55","end":"05:55","startHours":28.91985372504096,"endHours":29.91985372504096,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:55","end":"06:55","startHours":29.91985372504096,"endHours":30.91985372504096,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:55","end":"07:55","startHours":30.91985372504096,"endHours":31.91985372504096,"planetary_lord":"Venus"}],"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","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Cara","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":-21.803830601010798,"eotMinutes":10.131050600400467,"ayanamsa":25.0811}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"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":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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, 2087 CE · Berlin, Germany · Vidhyamitra","description":"December 1, 2087 CE for Berlin, Germany: Śukla Ṣaṣṭhī, sūryodaya 07:55, sūryāsta 15:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2087-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2087-12-01","sa":"https://sa.vidhyamitra.com/city/berlin/2087-12-01","hi":"https://hi.vidhyamitra.com/city/berlin/2087-12-01","x-default":"https://vidhyamitra.com/city/berlin/2087-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-03T01:22:32.294Z","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":"2026-06-03T01:22:32.294Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-03T01:22:32.294Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}