{"id":"vidhyamitra:city-day:berlin:2087-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2087-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-08-01","date_display":"August 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":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483533.770833,"kali_year":5189,"ahargana":1895068.2708,"sun":{"sidereal_longitude":103.2694,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":133.3831,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.1137,"elapsed_within_tithi_degrees":6.1137},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":133.3831,"elapsed_within_degrees":0.0497},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.6525},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2087,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483533.770833,"ahargana":1895068.2708,"kali_year":5189,"ayanamsa_lahiri":25.0765,"grahas":{"sun":{"sidereal_longitude":104.01050399999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":132.31690400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-4.3805},"mars":{"sidereal_longitude":143.13390400000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":105.66320400000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":142.62150400000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":92.97560399999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":17.45010400000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":210.1633,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":30.1633,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2087,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483533.770833,"kali_year":5189,"ahargana":1895068.2708,"sun":{"sidereal_longitude":103.2694,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":133.3831,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.1137,"elapsed_within_tithi_degrees":6.1137},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":133.3831,"elapsed_within_degrees":0.0497},"yoga":{"number":18,"name":"Varīyān","sum_longitude":236.6525},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.381,"elongation":30.114},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.381,"opposition_distance":149.886}},"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":"04:26","sunsetLocal":"19:59","solarNoonLocal":"12:12","dayLengthHours":15.552249179377576,"dayLengthDisplay":"15 Hours 33 Mins 08 Secs","nightLengthDisplay":"8 Hours 26 Mins 52 Secs","moonriseLocal":"07:15","moonsetLocal":"20:56","rahuKala":{"name":"Rāhu Kāla","start":"10:16","end":"12:12","startHours":10.262596683689642,"endHours":12.206627831111838,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"16:06","end":"18:02","startHours":16.094690125956234,"endHours":18.038721273378428,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:22","end":"08:19","startHours":6.374534388845248,"endHours":8.318565536267446,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:04","end":"08:35","startHours":8.059361383277817,"endHours":8.577769689257071,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:05","end":"05:30","startHours":5.078513623897117,"endHours":5.493240268680519,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:44","startHours":11.688219525132586,"endHours":12.72503613709109,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:21","end":"03:24","startHours":2.3568700175060413,"endHours":3.393686629464546,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:08","end":"04:26","startHours":3.13448247647492,"endHours":4.430503241423051,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:50","startHours":14.798669361008102,"endHours":15.835485972966607,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:47","end":"20:11","startHours":19.782752420800627,"endHours":20.182752420800625,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:59","end":"20:38","startHours":19.982752420800626,"endHours":20.630762803274692,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:44","end":"21:29","startHours":19.732752420800626,"endHours":21.482752420800626,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:44","startHours":23.688219525132585,"endHours":24.72503613709109,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"04:26","end":"06:22","startHours":4.430503241423051,"endHours":6.374534388845248,"quality":"neutral"},{"name":"Labha","start":"06:22","end":"08:19","startHours":6.374534388845248,"endHours":8.318565536267446,"quality":"auspicious"},{"name":"Amṛta","start":"08:19","end":"10:16","startHours":8.318565536267446,"endHours":10.262596683689642,"quality":"auspicious"},{"name":"Kāla","start":"10:16","end":"12:12","startHours":10.262596683689642,"endHours":12.206627831111838,"quality":"inauspicious"},{"name":"Śubha","start":"12:12","end":"14:09","startHours":12.206627831111838,"endHours":14.150658978534036,"quality":"auspicious"},{"name":"Roga","start":"14:09","end":"16:06","startHours":14.150658978534036,"endHours":16.094690125956234,"quality":"inauspicious"},{"name":"Udveg","start":"16:06","end":"18:02","startHours":16.094690125956234,"endHours":18.038721273378428,"quality":"inauspicious"},{"name":"Chala","start":"18:02","end":"19:59","startHours":18.038721273378428,"endHours":19.982752420800626,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:59","end":"21:02","startHours":19.982752420800626,"endHours":21.038721273378428,"quality":"inauspicious"},{"name":"Udveg","start":"21:02","end":"22:06","startHours":21.038721273378428,"endHours":22.094690125956234,"quality":"inauspicious"},{"name":"Chala","start":"22:06","end":"23:09","startHours":22.094690125956234,"endHours":23.150658978534036,"quality":"neutral"},{"name":"Labha","start":"23:09","end":"00:12","startHours":23.150658978534036,"endHours":24.206627831111838,"quality":"auspicious"},{"name":"Amṛta","start":"00:12","end":"01:16","startHours":24.206627831111838,"endHours":25.26259668368964,"quality":"auspicious"},{"name":"Kāla","start":"01:16","end":"02:19","startHours":25.26259668368964,"endHours":26.318565536267442,"quality":"inauspicious"},{"name":"Śubha","start":"02:19","end":"03:22","startHours":26.318565536267442,"endHours":27.374534388845248,"quality":"auspicious"},{"name":"Roga","start":"03:22","end":"04:26","startHours":27.374534388845248,"endHours":28.43050324142305,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"04:26","end":"05:26","startHours":4.430503241423051,"endHours":5.430503241423051,"planetary_lord":"Venus"},{"name":"Hora 2","start":"05:26","end":"06:26","startHours":5.430503241423051,"endHours":6.430503241423051,"planetary_lord":"Sun"},{"name":"Hora 3","start":"06:26","end":"07:26","startHours":6.430503241423051,"endHours":7.430503241423051,"planetary_lord":"Mars"},{"name":"Hora 4","start":"07:26","end":"08:26","startHours":7.430503241423051,"endHours":8.43050324142305,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"08:26","end":"09:26","startHours":8.43050324142305,"endHours":9.43050324142305,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"09:26","end":"10:26","startHours":9.43050324142305,"endHours":10.43050324142305,"planetary_lord":"Moon"},{"name":"Hora 7","start":"10:26","end":"11:26","startHours":10.43050324142305,"endHours":11.43050324142305,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"11:26","end":"12:26","startHours":11.43050324142305,"endHours":12.43050324142305,"planetary_lord":"Venus"},{"name":"Hora 9","start":"12:26","end":"13:26","startHours":12.43050324142305,"endHours":13.43050324142305,"planetary_lord":"Sun"},{"name":"Hora 10","start":"13:26","end":"14:26","startHours":13.43050324142305,"endHours":14.43050324142305,"planetary_lord":"Mars"},{"name":"Hora 11","start":"14:26","end":"15:26","startHours":14.43050324142305,"endHours":15.43050324142305,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"15:26","end":"16:26","startHours":15.43050324142305,"endHours":16.43050324142305,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"16:26","end":"17:26","startHours":16.43050324142305,"endHours":17.43050324142305,"planetary_lord":"Moon"},{"name":"Hora 14","start":"17:26","end":"18:26","startHours":17.43050324142305,"endHours":18.43050324142305,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"18:26","end":"19:26","startHours":18.43050324142305,"endHours":19.43050324142305,"planetary_lord":"Venus"},{"name":"Hora 16","start":"19:26","end":"20:26","startHours":19.43050324142305,"endHours":20.43050324142305,"planetary_lord":"Sun"},{"name":"Hora 17","start":"20:26","end":"21:26","startHours":20.43050324142305,"endHours":21.43050324142305,"planetary_lord":"Mars"},{"name":"Hora 18","start":"21:26","end":"22:26","startHours":21.43050324142305,"endHours":22.43050324142305,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"22:26","end":"23:26","startHours":22.43050324142305,"endHours":23.43050324142305,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"23:26","end":"00:26","startHours":23.43050324142305,"endHours":24.43050324142305,"planetary_lord":"Moon"},{"name":"Hora 21","start":"00:26","end":"01:26","startHours":24.43050324142305,"endHours":25.43050324142305,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"01:26","end":"02:26","startHours":25.43050324142305,"endHours":26.43050324142305,"planetary_lord":"Venus"},{"name":"Hora 23","start":"02:26","end":"03:26","startHours":26.43050324142305,"endHours":27.43050324142305,"planetary_lord":"Sun"},{"name":"Hora 24","start":"03:26","end":"04:26","startHours":27.43050324142305,"endHours":28.43050324142305,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Dhūmra","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.981851810527118,"eotMinutes":-6.017669866710306,"ayanamsa":25.0765}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Tṛtīyā · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"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":[]},"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 August 1, 2087 CE · Berlin, Germany · Vidhyamitra","description":"August 1, 2087 CE for Berlin, Germany: Śukla Tṛtīyā, sūryodaya 04:26, sūryāsta 19:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2087-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2087-08-01","sa":"https://sa.vidhyamitra.com/city/berlin/2087-08-01","hi":"https://hi.vidhyamitra.com/city/berlin/2087-08-01","x-default":"https://vidhyamitra.com/city/berlin/2087-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T20:46:34.705Z","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":"2026-05-31T20:46:34.705Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T20:46:34.705Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}