{"id":"vidhyamitra:city-day:berlin:2129-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2129-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2129-08-04","date_display":"August 4, 2129 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":2129,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498876.770833,"kali_year":5231,"ahargana":1910411.2708,"sun":{"sidereal_longitude":105.2964,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":334.3698,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.0734,"elapsed_within_tithi_degrees":1.0734},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.3698,"elapsed_within_degrees":1.0365},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":79.6662},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2129,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2498876.770833,"ahargana":1910411.2708,"kali_year":5231,"ayanamsa_lahiri":25.6633,"grahas":{"sun":{"sidereal_longitude":106.15218900000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":337.795789,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-2.7159},"mars":{"sidereal_longitude":302.529889,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":129.986089,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":351.865389,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":73.300589,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":169.83588899999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":117.2173,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":297.2173,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","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":2129,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2498876.770833,"kali_year":5231,"ahargana":1910411.2708,"sun":{"sidereal_longitude":105.2964,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":334.3698,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.0734,"elapsed_within_tithi_degrees":1.0734},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1,"moon_longitude":334.3698,"elapsed_within_degrees":1.0365},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":79.6662},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.716,"elongation":130.927},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.716,"opposition_distance":49.073}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":-0.002,"elongation":0.838}]},"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":"04:30","sunsetLocal":"19:54","solarNoonLocal":"12:12","dayLengthHours":15.393998848783873,"dayLengthDisplay":"15 Hours 23 Mins 38 Secs","nightLengthDisplay":"8 Hours 36 Mins 22 Secs","moonriseLocal":"21:28","moonsetLocal":"09:50","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"16:03","startHours":14.127147613831948,"endHours":16.05139746992993,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"04:30","end":"06:26","startHours":4.505898333342027,"endHours":6.430148189440011,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:21","end":"10:17","startHours":8.354398045537994,"endHours":10.27864790163598,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:06","end":"08:37","startHours":8.097831398058265,"endHours":8.610964693017728,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:09","end":"05:33","startHours":5.147314952041355,"endHours":5.557821588008925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:41","end":"12:43","startHours":11.689764462774502,"endHours":12.716031052693427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"02:27","end":"03:29","startHours":2.453365153504177,"endHours":3.479631743423102,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"03:13","end":"04:30","startHours":3.2230650959433707,"endHours":4.505898333342027,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:46","end":"15:48","startHours":14.768564232531276,"endHours":15.794830822450201,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:42","end":"20:06","startHours":19.699897182125902,"endHours":20.0998971821259,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:54","end":"20:32","startHours":19.8998971821259,"endHours":20.54131380082523,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:39","end":"21:24","startHours":19.6498971821259,"endHours":21.3998971821259,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:41","end":"00:43","startHours":23.6897644627745,"endHours":24.716031052693427,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"04:30","end":"06:26","startHours":4.505898333342027,"endHours":6.430148189440011,"quality":"auspicious"},{"name":"Roga","start":"06:26","end":"08:21","startHours":6.430148189440011,"endHours":8.354398045537994,"quality":"inauspicious"},{"name":"Udveg","start":"08:21","end":"10:17","startHours":8.354398045537994,"endHours":10.27864790163598,"quality":"inauspicious"},{"name":"Chala","start":"10:17","end":"12:12","startHours":10.27864790163598,"endHours":12.202897757733965,"quality":"neutral"},{"name":"Labha","start":"12:12","end":"14:08","startHours":12.202897757733965,"endHours":14.127147613831948,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"16:03","startHours":14.127147613831948,"endHours":16.05139746992993,"quality":"auspicious"},{"name":"Kāla","start":"16:03","end":"17:59","startHours":16.05139746992993,"endHours":17.975647326027918,"quality":"inauspicious"},{"name":"Śubha","start":"17:59","end":"19:54","startHours":17.975647326027918,"endHours":19.8998971821259,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:54","end":"20:59","startHours":19.8998971821259,"endHours":20.975647326027918,"quality":"auspicious"},{"name":"Kāla","start":"20:59","end":"22:03","startHours":20.975647326027918,"endHours":22.05139746992993,"quality":"inauspicious"},{"name":"Śubha","start":"22:03","end":"23:08","startHours":22.05139746992993,"endHours":23.127147613831948,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:12","startHours":23.127147613831948,"endHours":24.202897757733965,"quality":"inauspicious"},{"name":"Udveg","start":"00:12","end":"01:17","startHours":24.202897757733965,"endHours":25.27864790163598,"quality":"inauspicious"},{"name":"Chala","start":"01:17","end":"02:21","startHours":25.27864790163598,"endHours":26.354398045537998,"quality":"neutral"},{"name":"Labha","start":"02:21","end":"03:26","startHours":26.354398045537998,"endHours":27.43014818944001,"quality":"auspicious"},{"name":"Amṛta","start":"03:26","end":"04:30","startHours":27.43014818944001,"endHours":28.505898333342028,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"04:30","end":"05:30","startHours":4.505898333342027,"endHours":5.505898333342027,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"05:30","end":"06:30","startHours":5.505898333342027,"endHours":6.505898333342027,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"06:30","end":"07:30","startHours":6.505898333342027,"endHours":7.505898333342027,"planetary_lord":"Moon"},{"name":"Hora 4","start":"07:30","end":"08:30","startHours":7.505898333342027,"endHours":8.505898333342028,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"08:30","end":"09:30","startHours":8.505898333342028,"endHours":9.505898333342028,"planetary_lord":"Venus"},{"name":"Hora 6","start":"09:30","end":"10:30","startHours":9.505898333342028,"endHours":10.505898333342028,"planetary_lord":"Sun"},{"name":"Hora 7","start":"10:30","end":"11:30","startHours":10.505898333342028,"endHours":11.505898333342028,"planetary_lord":"Mars"},{"name":"Hora 8","start":"11:30","end":"12:30","startHours":11.505898333342028,"endHours":12.505898333342028,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"12:30","end":"13:30","startHours":12.505898333342028,"endHours":13.505898333342028,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"13:30","end":"14:30","startHours":13.505898333342028,"endHours":14.505898333342028,"planetary_lord":"Moon"},{"name":"Hora 11","start":"14:30","end":"15:30","startHours":14.505898333342028,"endHours":15.505898333342028,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"15:30","end":"16:30","startHours":15.505898333342028,"endHours":16.505898333342028,"planetary_lord":"Venus"},{"name":"Hora 13","start":"16:30","end":"17:30","startHours":16.505898333342028,"endHours":17.505898333342028,"planetary_lord":"Sun"},{"name":"Hora 14","start":"17:30","end":"18:30","startHours":17.505898333342028,"endHours":18.505898333342028,"planetary_lord":"Mars"},{"name":"Hora 15","start":"18:30","end":"19:30","startHours":18.505898333342028,"endHours":19.505898333342028,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"19:30","end":"20:30","startHours":19.505898333342028,"endHours":20.505898333342028,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"20:30","end":"21:30","startHours":20.505898333342028,"endHours":21.505898333342028,"planetary_lord":"Moon"},{"name":"Hora 18","start":"21:30","end":"22:30","startHours":21.505898333342028,"endHours":22.505898333342028,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"22:30","end":"23:30","startHours":22.505898333342028,"endHours":23.505898333342028,"planetary_lord":"Venus"},{"name":"Hora 20","start":"23:30","end":"00:30","startHours":23.505898333342028,"endHours":24.505898333342028,"planetary_lord":"Sun"},{"name":"Hora 21","start":"00:30","end":"01:30","startHours":24.505898333342028,"endHours":25.505898333342028,"planetary_lord":"Mars"},{"name":"Hora 22","start":"01:30","end":"02:30","startHours":25.505898333342028,"endHours":26.505898333342028,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"02:30","end":"03:30","startHours":26.505898333342028,"endHours":27.505898333342028,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"03:30","end":"04:30","startHours":27.505898333342028,"endHours":28.505898333342028,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":17.243205905259593,"eotMinutes":-5.793865464037833,"ayanamsa":25.6633}},"calendars":{"vikram_samvat":2186,"vikram_samvatsara":"Śubhakṛt","saka_samvat":2051,"saka_samvatsara":"Virodhi","bengali_samvat":1536,"malayalam_era":1305,"nanakshahi_year":660,"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 Pañcamī · Vikram 2186 Śubhakṛt · Śaka 2051 Virodhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 4, 2129 CE · Berlin, Germany · Vidhyamitra","description":"August 4, 2129 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 04:30, sūryāsta 19:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2129-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2129-08-04","sa":"https://sa.vidhyamitra.com/city/berlin/2129-08-04","hi":"https://hi.vidhyamitra.com/city/berlin/2129-08-04","x-default":"https://vidhyamitra.com/city/berlin/2129-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T10:19:09.879Z","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":"2026-05-31T10:19:09.879Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T10:19:09.879Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}