{"id":"vidhyamitra:city-day:berlin:2048-08-02:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2048-08-02","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2048-08-02","date_display":"August 2, 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":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469290.770833,"kali_year":5150,"ahargana":1880825.2708,"sun":{"sidereal_longitude":105.2577,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":18.6317,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.374,"elapsed_within_tithi_degrees":9.374},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.6317,"elapsed_within_degrees":5.2984},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.8894},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":8,"day":2,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469290.770833,"ahargana":1880825.2708,"kali_year":5150,"ayanamsa_lahiri":24.5317,"grahas":{"sun":{"sidereal_longitude":105.91619100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":20.758490999999992,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3},"retrograde":false,"latitude":3.246},"mars":{"sidereal_longitude":223.56879100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":117.58919100000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":57.737690999999984,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":123.04139099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":255.32019100000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":244.826,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":64.826,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":"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":8,"day":2,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469290.770833,"kali_year":5150,"ahargana":1880825.2708,"sun":{"sidereal_longitude":105.2577,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":18.6317,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":273.374,"elapsed_within_tithi_degrees":9.374},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2,"moon_longitude":18.6317,"elapsed_within_degrees":5.2984},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":123.8894},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.246,"elongation":86.626},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.246,"opposition_distance":93.374}},"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":"04:28","sunsetLocal":"19:57","solarNoonLocal":"12:12","dayLengthHours":15.473975989384074,"dayLengthDisplay":"15 Hours 28 Mins 26 Secs","nightLengthDisplay":"8 Hours 31 Mins 34 Secs","moonriseLocal":"22:57","moonsetLocal":"14:06","rahuKala":{"name":"Rāhu Kāla","start":"18:00","end":"19:57","startHours":18.008299864687977,"endHours":19.942546863360988,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:12","end":"14:08","startHours":12.205558868668952,"endHours":14.13980586734196,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"16:04","end":"18:00","startHours":16.07405286601497,"endHours":18.008299864687977,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:05","end":"08:36","startHours":8.079165271499864,"endHours":8.594964471146,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:07","end":"05:32","startHours":5.113319873534584,"endHours":5.525959233251493,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:43","startHours":11.689759669022816,"endHours":12.721358068315087,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:24","end":"03:26","startHours":2.4053740753923702,"endHours":3.4369724746846417,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:11","end":"04:28","startHours":3.179072874861574,"endHours":4.468570873976914,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:47","end":"15:49","startHours":14.784554866899631,"endHours":15.816153266191902,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:45","end":"20:09","startHours":19.74254686336099,"endHours":20.142546863360987,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:57","end":"20:35","startHours":19.942546863360988,"endHours":20.58729586291866,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:42","end":"21:27","startHours":19.692546863360988,"endHours":21.442546863360988,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:43","startHours":23.689759669022816,"endHours":24.721358068315087,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"04:28","end":"06:24","startHours":4.468570873976914,"endHours":6.402817872649923,"quality":"inauspicious"},{"name":"Chala","start":"06:24","end":"08:20","startHours":6.402817872649923,"endHours":8.337064871322932,"quality":"neutral"},{"name":"Labha","start":"08:20","end":"10:16","startHours":8.337064871322932,"endHours":10.271311869995941,"quality":"auspicious"},{"name":"Amṛta","start":"10:16","end":"12:12","startHours":10.271311869995941,"endHours":12.205558868668952,"quality":"auspicious"},{"name":"Kāla","start":"12:12","end":"14:08","startHours":12.205558868668952,"endHours":14.13980586734196,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"16:04","startHours":14.13980586734196,"endHours":16.07405286601497,"quality":"auspicious"},{"name":"Roga","start":"16:04","end":"18:00","startHours":16.07405286601497,"endHours":18.008299864687977,"quality":"inauspicious"},{"name":"Udveg","start":"18:00","end":"19:57","startHours":18.008299864687977,"endHours":19.942546863360988,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:57","end":"21:00","startHours":19.942546863360988,"endHours":21.008299864687977,"quality":"auspicious"},{"name":"Roga","start":"21:00","end":"22:04","startHours":21.008299864687977,"endHours":22.07405286601497,"quality":"inauspicious"},{"name":"Udveg","start":"22:04","end":"23:08","startHours":22.07405286601497,"endHours":23.13980586734196,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:12","startHours":23.13980586734196,"endHours":24.205558868668952,"quality":"neutral"},{"name":"Labha","start":"00:12","end":"01:16","startHours":24.205558868668952,"endHours":25.27131186999594,"quality":"auspicious"},{"name":"Amṛta","start":"01:16","end":"02:20","startHours":25.27131186999594,"endHours":26.33706487132293,"quality":"auspicious"},{"name":"Kāla","start":"02:20","end":"03:24","startHours":26.33706487132293,"endHours":27.402817872649923,"quality":"inauspicious"},{"name":"Śubha","start":"03:24","end":"04:28","startHours":27.402817872649923,"endHours":28.468570873976915,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:28","end":"05:28","startHours":4.468570873976914,"endHours":5.468570873976914,"planetary_lord":"Sun"},{"name":"Hora 2","start":"05:28","end":"06:28","startHours":5.468570873976914,"endHours":6.468570873976914,"planetary_lord":"Mars"},{"name":"Hora 3","start":"06:28","end":"07:28","startHours":6.468570873976914,"endHours":7.468570873976914,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"07:28","end":"08:28","startHours":7.468570873976914,"endHours":8.468570873976914,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"08:28","end":"09:28","startHours":8.468570873976914,"endHours":9.468570873976914,"planetary_lord":"Moon"},{"name":"Hora 6","start":"09:28","end":"10:28","startHours":9.468570873976914,"endHours":10.468570873976914,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"10:28","end":"11:28","startHours":10.468570873976914,"endHours":11.468570873976914,"planetary_lord":"Venus"},{"name":"Hora 8","start":"11:28","end":"12:28","startHours":11.468570873976914,"endHours":12.468570873976914,"planetary_lord":"Sun"},{"name":"Hora 9","start":"12:28","end":"13:28","startHours":12.468570873976914,"endHours":13.468570873976914,"planetary_lord":"Mars"},{"name":"Hora 10","start":"13:28","end":"14:28","startHours":13.468570873976914,"endHours":14.468570873976914,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"14:28","end":"15:28","startHours":14.468570873976914,"endHours":15.468570873976914,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"15:28","end":"16:28","startHours":15.468570873976914,"endHours":16.468570873976915,"planetary_lord":"Moon"},{"name":"Hora 13","start":"16:28","end":"17:28","startHours":16.468570873976915,"endHours":17.468570873976915,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"17:28","end":"18:28","startHours":17.468570873976915,"endHours":18.468570873976915,"planetary_lord":"Venus"},{"name":"Hora 15","start":"18:28","end":"19:28","startHours":18.468570873976915,"endHours":19.468570873976915,"planetary_lord":"Sun"},{"name":"Hora 16","start":"19:28","end":"20:28","startHours":19.468570873976915,"endHours":20.468570873976915,"planetary_lord":"Mars"},{"name":"Hora 17","start":"20:28","end":"21:28","startHours":20.468570873976915,"endHours":21.468570873976915,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"21:28","end":"22:28","startHours":21.468570873976915,"endHours":22.468570873976915,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"22:28","end":"23:28","startHours":22.468570873976915,"endHours":23.468570873976915,"planetary_lord":"Moon"},{"name":"Hora 20","start":"23:28","end":"00:28","startHours":23.468570873976915,"endHours":24.468570873976915,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"00:28","end":"01:28","startHours":24.468570873976915,"endHours":25.468570873976915,"planetary_lord":"Venus"},{"name":"Hora 22","start":"01:28","end":"02:28","startHours":25.468570873976915,"endHours":26.468570873976915,"planetary_lord":"Sun"},{"name":"Hora 23","start":"02:28","end":"03:28","startHours":26.468570873976915,"endHours":27.468570873976915,"planetary_lord":"Mars"},{"name":"Hora 24","start":"03:28","end":"04:28","startHours":27.468570873976915,"endHours":28.468570873976915,"planetary_lord":"Jupiter"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"East","rahuVasa":"North-East","anandadiYoga":{"name":"Kāladaṇḍa","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":17.61821669107925,"eotMinutes":-5.953532120137101,"ayanamsa":24.5317}},"calendars":{"vikram_samvat":2105,"vikram_samvatsara":"Vṛṣa","saka_samvat":1970,"saka_samvatsara":"Vibhava","bengali_samvat":1455,"malayalam_era":1224,"nanakshahi_year":579,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","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 Kṛṣṇa Aṣṭamī · Vikram 2105 Vṛṣa · Śaka 1970 Vibhava"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 2, 2048 CE · Berlin, Germany · Vidhyamitra","description":"August 2, 2048 CE for Berlin, Germany: Kṛṣṇa Aṣṭamī, sūryodaya 04:28, sūryāsta 19:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2048-08-02","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2048-08-02","sa":"https://sa.vidhyamitra.com/city/berlin/2048-08-02","hi":"https://hi.vidhyamitra.com/city/berlin/2048-08-02","x-default":"https://vidhyamitra.com/city/berlin/2048-08-02"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T10:39:01.502Z","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":"2026-09-06T10:39:01.502Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T10:39:01.502Z","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"}}}